# Divergence Test

Get the free "Convergence Test" widget for your website, blog, Wordpress, Blogger, or iGoogle. In this section we give a general set of guidelines for determining which test to use in determining if an infinite series will converge or diverge. How to use divergent in a sentence. DIVERGENCE TEST Divergence Test The divergence test is based on the observation that if a series X1 n=0 a n converges, then lim n!1 a n = 0: Hence we have a necessary condition for the convergence of a series,. This test, according to Wikipedia, is one of the easiest tests to apply; hence it is the first "test" we check when trying to determine whether a series converges or diverges. On it Sir Ken explained, among other ideas, the difference between creativity and divergent thinking which I found fascinating (min 7:48 in the video). If the sequence of these partial sums {S n} converges to L, then the sum of the series converges to L. It is generally quite difficult, often impossible, to determine the value of a series exactly. A divergent question is asked without an attempt to reach a direct or specific conclusion. Your ultimate dream job is:. In this study, participants were asked to list alternative uses for a paperclip in three minutes. Video tutorial on Test for Divergence for Series, Two Examples. , adj divergent. If the limit of a[n] is not zero, or does not exist, then the sum diverges. harpercollins. If you can define f so that it is a continuous, positive, decreasing function from 1 to infinity (including 1) such that a[n]=f(n), then the sum will converge if and only if the integral of f from 1 to infinity converges. Divergent means that a person has multiple atitudes and cannot easily defined or controlled. Wynn2 1University of Hertfordshire, 2Oxford Brookes University. Jensen-Shannon Divergence. Start studying Divergent and Convergence tests rules. Does P bn converge? Is 0 ≤ an ≤ bn? YES P YES an Converges Is 0 ≤ bn ≤ an? NO NO P YES an Diverges LIMIT COMPARISON TEST Pick {bn}. Management of Intermittent Exotropia of the Divergence Excess Type: a Teaching Case Report | 3 | 3 Table 2: Click to enlarge Snellen acuity with glasses was 20/20-3 in the right eye and 20/20 in the left eye at distance. The remnant population of post-apocalyptic Chicago intended to cure civilization’s failures by structuring society into five “factions,” each dedicated to inculcating a specific virtue. We continually strive to improve our processes and technologies to reduce the impact on the environment. Test the series for convergence or divergence. In the world of finance and trading, convergence and divergence are terms used to describe the. How to Act Like You Live in Dauntless (Divergent). FILE INFORMATION. From a general summary to chapter summaries to explanations of famous quotes, the SparkNotes Divergent Study Guide has everything you need to ace quizzes, tests, and essays. SEE ALSO: Abel's Uniform Convergence Test , Bertrand's Test , Dirichlet's Test , Divergence Tests , Ermakoff's Test , Gauss's Test , Integral Test , Kummer's Test , Limit Comparison Test , Limit Test , Raabe's Test , Radius of Convergence , Ratio Test , Riemann Series Theorem , Root Test. Upload failed. 3,031,825 likes · 521 talking about this. Calculus on the Web was developed with the support of the National Science Foundation COW is a project of Gerardo Mendoza and Dan Reich Temple University. This test can never be used to show that a series converges. Watch our guided videos to learn more. Divergent study guide contains a biography of Veronica Roth, literature essays, quiz questions, major themes, characters, and a full summary and analysis. Amazon iBook Google Play Kobo Books Nook Sainsbury’s. In both the Divergent book and film trilogies, factions are societal divisions that classify citizens based on their aptitudes and values. Use the divergence test to determine whether a series converges or diverges. Risk Taking “The term “Risk Society” has been coined to describe a culture that is oriented towards the future and dealing with uncertainty and insecurity. It is employed to stimulate divergent thinking that considers a variety of outcomes to a certain proposal. Learn more. The results of her Aptitude test were inconclusive- showing equal aptitude for Abnegation, Dauntless, and Erudite. Divergent vector field with embedded sphere. Fill this simple quiz and find out if you are divergent. However, this is purely a subjective feeling. The people of Dauntless are daring and strive to overcome their fears. The problem is that I feel that the scores are not high enough when comparing two text documents, for instance. You spend your weekends: 2. Convergent. CLICK FOR LEGAL TM & ©2014 Summit Entertainment, LLC. We can see that the terms converge to 0, but the Divergence Test only tells us what to do when the terms don't converge to 0. Get the free "Infinite Series Analyzer" widget for your website, blog, Wordpress, Blogger, or iGoogle. Gradient: Consider a ball in your hand. Abstract Modafinil is a drug licensed for the treatment of narcolepsy and sleep apnea. McDonald’s and Starbucks are classic examples of new brand divergence. You are given a gun and told that you must shoot someone. How to Calculate Divergence and Curl. In Chapter Twenty-Nine, Beatrice sighs when she realizes what. Google has many special features to help you find exactly what you're looking for. Integral Test. DIVERGENT is a thrilling action-adventure film set in a world where people are divided into distinct factions based on human virtues. [Divergent 5] She is the first inititate to jump off of the roof at the beginning of initiation. Lesson 15: Divergence Test - Ohio State University. 1 million years ago in seven of the taxon pairs and a more recent divergence in the remaining taxon pair. Risk is integral to innovation and to advanced, complex societies. We prove that the proposed test dominates the existing empirical likelihood score test. Although no examples are given here, the requirements for each test are provided. All Rights Reserved. Inotherwords, ZZ. If a k b k for all k su ciently large, then 1. Divergence is when the price of an asset and a technical indicator move in opposite directions. This test, according to Wikipedia, is one of the easiest tests to apply; hence it is the first "test" we check when trying to determine whether a series converges or diverges. Cliques writ large take over in the first of a projected dystopian trilogy. Kullback-Leibler divergence (also called KL divergence, relative entropy information gain or information divergence) is a way to compare differences between two probability distributions p(x) and q(x). I was trying to show that the series was divergent by $$\lim_{n\rightarrow \infty} a_n \neq 0$$, but that's not possible because the limit doesn't exist, that's why I messed up. the situation in which two things become different: 2. Generate leads, increase sales and drive traffic to your blog or website. n, then ∑ ∞ n= 1. This test, according to Wikipedia, is one of the easiest tests to apply; hence it is the first "test" we check when trying to determine whether a series converges or diverges. Devin (CWNE #1) has 20+ years of experience in IT with 15+ years in WLAN specifically. Definition of Convergence and Divergence in Series The n th partial sum of the series a n is given by S n = a 1 + a 2 + a 3 + + a n. Is the series ln(x)/x convergent or divergent using the root test, ratio test, or integral test?. In high school, you were/are most likely to be involved in: 3. Summary of Convergence Tests for Series Let ∑ ∞ n= 1. And at midnight we see the theatre break up and discharge its swarm of hilarious youth and beauty; we hear the cries of the hackman-gondoliers, and behold the struggling crowd jump aboard, and the black multitude of boats go skimming down the moonlit avenues; we see them separate here and there, and disappear up divergent streets; we hear the faint sounds of laughter and of shouted farewells. Mumbai: ICICI Bank Ltd dodged a bullet in the September quarter on the asset quality front as the Reserve Bank of India’s (RBI’s) report card on the lender’s books was not out. These two tests greatly expand the variety of series you are able to test for convergence or divergence. When you come up with a survey question, you need to make sure that it is getting you the results that you expect. ) with 45 reads. In this study, participants were asked to list alternative uses for a paperclip in three minutes. “Brilliant ideas often seem ridiculous. 4, 1 of 1 Section 9. Una historia futurista pero muy real. The purpose of the test is to show which of the five factions each person belongs with. In vector calculus, divergence and curl are two important types of operators used on vector fields. The basic question we wish to answer about a series is whether or not the series converges. or if you do the same calculation repeatedly you can see that the mean of the estimates is 12. Statistics Definitions >. Our online divergent trivia quizzes can be adapted to suit your requirements for taking some of the top divergent quizzes. DIVERGENT offers exciting danger, sweet romance, intriguing psychiatric excavations, and nonstop captivating action. In order to preserve what is left of society, leaders have chosen to break it down into factions. Using the Gall Bladder Divergent Channel to Calm an Irritated Vagus Nerve. In this section we give a general set of guidelines for determining which test to use in determining if an infinite series will converge or diverge. Wynn2 1University of Hertfordshire, 2Oxford Brookes University. The Divergence Test. Strabismus Definition Strabismus is a condition in which the eyes do not point in the same direction. Get the free "Infinite Series Analyzer" widget for your website, blog, Wordpress, Blogger, or iGoogle. Sequences - convergent or divergent? Which of the given series are convergent (i. It is the story of Tris, who lives in a dystopian society where you have to chose a faction of society to dedicate yourself to when you turn 16. Here, the answer is not clear. is divergent and. This case report explains the signs and symptoms of IXT and evaluation of a patient. Inotherwords, ZZ. 2 Tests for Convergence Let us determine the convergence or the divergence of a series by comparing it to one whose behavior is already known. X1 k=1 ln6k ln2k lim k!1 ln6k ln2k = 1 6= 0 [see Sequences problem #26], so by the Divergence Test the series diverges. This calculus 2 video tutorial provides a basic introduction into the divergence test for series. 3 Geometric Series and Convergence Theorems. Governmental Issues Another thing that Divergent teaches its readers is that too much of a good thing can lead to bad consequences. 1 Introduction We now come to a central prediction of the Solow growth model, one that is a direct corollary of the assumption of diminishing returns. Tests for convergence and divergence are methods to determine the convergence or divergence of infinite series. Tris Prior (Shailene Woodley) is warned she is Divergent and. Disclosures: Dr. Search the world's information, including webpages, images, videos and more. Divergent th inking typically occurs in a spontaneous,. div = divergence(X,Y,Z,U,V,W) computes the divergence of a 3-D vector field having vector components U, V, W. Tests for Series Convergence Geometric Series: A series of the form will converge if and only if <1. Integral test for convergence and divergence. Fill this simple quiz and find out if you are divergent. The factions are Dauntless (the brave), Amity (the kind), Erudite (the intelligent), Abnegation (the selfless), and Candor (the honest). The problem is that I feel that the scores are not high enough when comparing two text documents, for instance. Divergent and convergent thinking is not just for creativity in the workplace. Buy Online with safety transaction. Geometric Series and the Test for Divergence - Part 1 - Duration: 9:57. Get the free "Convergence Test" widget for your website, blog, Wordpress, Blogger, or iGoogle. Think of it as the rate of flux expansion (positive divergence) or flux contraction (negative divergence). 6) Geometric series: ∑ n=1 ∞ arn−1 • converges if ∣r∣ 1 • diverges if ∣r∣≥1. [ report this test] Are you Divergent? This test will find out your aptitude for each Faction. is geometric, but is not. The corporate ladder is now a maze, which means our students will need to think divergently. 2 What faction will you choose to be? 1 New leader of a new faction Choose 2 new leaders Choose 2 objects You have 2 minutes 3. The results of her Aptitude test were inconclusive- showing equal aptitude for Abnegation, Dauntless, and Erudite. Answer: Apply the Ratio Test (p. This measurement is the most accurate one available on the wing and is also thought to be the best measure of the loads that produce the structural divergence phenomenon. I find creativity tests a fascinating subject to study. Learning Objectives. be an infinite series of. Specifically, we address the problem of conjunction non-commutativity. Recognizing these types will help you decide which tests or strategies will be most useful in finding. This discussion resonated with me in my quarter-century work with suicidal persons. com 717-419-4405. CANDOR: In one word, you are honest. If the individual terms of a series (in other words, the terms of the series' underlying sequence) do not converge to zero, then the series must diverge. Does lim n→∞ an bn = c > 0 c ﬁnite & an,bn > 0? Does X∞ n=1 YES bn converge? P an Converges YES P an Diverges NO INTEGRAL TEST Does an = f(n), f(x) is contin-uous. org | FilmRatings. The act impresses. Divergence test lesson plans and worksheets from thousands of teacher-reviewed resources to help you inspire students learning. In this section you will study two additional tests for positive-term series. Jensen-Shannon Divergence. Yet little is known about how plant duplicate genes evolve and ar. How to Calculate Divergence and Curl. we've been to SA and Eng has been in India. Does lim n→∞ an bn = c > 0 c ﬁnite & an,bn > 0? Does X∞ n=1 YES bn converge? P an Converges YES P an Diverges NO INTEGRAL TEST Does an = f(n), f(x) is contin-uous. We will now look at a fundamentally critical theorem that tells us that if a series is convergent then the sequence of terms $\{ a_n \}$ is convergent to 0, and that if the sequence of terms $\{ a_n \}$ does not diverge to $0$, then the series is divergent. The divergence test will usually be the first test of whether or not a series converges. Say nothing, even though this upsets you. Divergence Test Summary. There are only 6 questions so it won't take long, promise!. If the sequence of these partial sums {S n} converges to L, then the sum of the series converges to L. P 1 n=1 p n3+2 Compare to n 3 2 to show convergence. Synonym Discussion of divergent. Alternating series are series whose terms alternate in sign between positive and negative. It's pretty simple; we're really just asking whether the n th term of a series converges to zero, but the divergence test has some important limitations that we should get out of the way right away. converges if and only if the. Convergence Divergence Forex InStock yes Valid Offer! Things to Buy at this store. Please upload a file larger than 100 x 100 pixels; We are experiencing some problems, please try again. For instance, the sum doesn't converge, since the limit as n goes to infinity of (n+1)/n is 1. In this post we'll go over a simple example to help you better grasp this interesting tool from information theory. Divergent vector field with embedded sphere. Risk Taking “The term “Risk Society” has been coined to describe a culture that is oriented towards the future and dealing with uncertainty and insecurity. Divergent vector field with embedded sphere. A comprehensive database of more than 61 divergent quizzes online, test your knowledge with divergent quiz questions. Free series convergence calculator - test infinite series for convergence step-by-step. On the other hand, divergent. See how it's used in our guided examples. Use Alternating Series Test, or Use Ratio/Root Test to see if Converges Absolutely j # NO # Use Other Convergence Tests: (1) If a n behaves like a p-series or Geometric series, usually use Comparison Test or use Limit Comparison Test. In this video, I discuss the test for divergence and show two examples of series who diverge by using the test for divergence. Divergent Questions and Answers. com 717-419-4405. Creativity Research Journal, 2006. a·lign (ə-līn′) v Test faction divergent francais. In order to preserve what is left of society, leaders have chosen to break it down into factions. Don't want to start any trouble over something silly. Relative to convergence, it is the behavior in the large-n limit that matters. Series Convergence and Divergence Practice Examples 1 at so far to some series without being given what test to apply specifically. You are going to go to your aptitude test. It can only be used to show that a series diverges. We get 75% of the information about our environment from vision and vision affects things like reading, handwriting and balance. From the other side of the cafeteria, you hear a little girl scream, "Puppy!!!". 1 This test method covers the design, materials, manufacture, and use of a divergence and alignment indicator (DAI) for measuring the effective divergence of a thermal neutron beam used for neutron imaging as well as determining the alignment of the imaging plane relative (usually normal) to the centerline of the beam. Recognizing these types will help you decide which tests or strategies will be most useful in finding. But her face was a larger and freer copy, and her mouth in especial a happy divergence from that conservative orifice, a little pair of lips at once plump and pinched, that looked, when closed, as if they could not open wider than to swallow a gooseberry or to emit an "Oh, dear, no!". If it seems confusing as to why this would be the case, the reader may want to review the appendix on the divergence test and the contrapositive. If P b k converges, then P a k also converges. RSI Divergences is an indicator that shows where RSI and price are in a divergence. Every person undergoes a test at the age of sixteen to determine the faction in which they belong. In the world of Divergent, society is divided into five factions – Candor, Abnegation, Dauntless, Amity and Erudite. As we discussed in lecture, even though the limit of the sequence of partial sums of a sequence by de nition. Tris Prior (Shailene Woodley) is warned she is Divergent and will never fit into any one group. 3,031,825 likes · 521 talking about this. This test consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics. The popular dystopian young adult series, Divergent, takes place in a very different futuristic Chicago. If it is geometric, compute the sum. You find your self in your school cafeteria. Practice using the nth term test to determine sequence divergence. If P a k diverges, then P b k also diverges. However, test is inconclusive if , so try another test. If you lived in the dystopian world of Divergent, see what faction you would belong to. Fortunately, it's also very easy to use. Tutorial 7 / 83 DnaSP can not align sequences. Theorem 4 : (Comparison test ) Suppose 0 • an • bn for n ‚ k for some k: Then. A world-class business education in a single volume. Lesson 15: Divergence Test - Ohio State University. MACD Divergence typically means a divergence between the MACD technical indicator and price. Strategies of Divergent Thinking. This aptitude test decides which faction you belong to, but if your. requirements for specific applications or measurement techniques. The tests for convergence of improper integrals are done by comparing these integrals to known simpler improper integrals. "What makes you different makes you dangerous. Nonetheless, the ratio test can be performed: |(3/4)^(n + 1) / (3/4)^n| = |3/4| = 3/4 ----> 3/4 < 1, as n approaches infinity. Risk is integral to innovation and to advanced, complex societies. Observe that the converse of Theorem 1 is not true in general. Comparison Test Let P a k and P b k be series with non-negative terms. I have argued for many years that divergent-thinking tests are not good measures of creativity (Baer, 1993, 1993/1994, 2009, 2011a, 2011b). n an is divergent. When she discovers a plot to destroy Divergents, Tris and the mysterious Four must find out what makes Divergents dangerous before it's too late. org | Terms. Exodeviations or divergent squint occurs as a result of certain obstacles to development or maintenance of binocular vision and/ or due to defective action of the medial rectus muscles. 4, 1 of 1 Section 9. Effects of Examinee Choice on a Test of Divergent Thinking Donald E. are series with positive terms. Gilhooly1, E. This case report explains the signs and symptoms of IXT and evaluation of a patient. Now take any point on the ball and imagine a vector acting perpendicular to the ball on that point. Completed 0 of 5 questions. The series might converge. This test, according to Wikipedia, is one of the easiest tests to apply; hence it is the first "test" we check when trying to determine whether a series converges or diverges. Primary and secondary forms exist, with the latter more urgently addressed due to neurologic comorbidities. Recognizing these types will help you decide which tests or strategies will be most useful in finding. View Samira Virani’s profile on LinkedIn, the world's largest professional community. : then a converges. Six multi-part questions which involve using the integral, ratio, and comparison tests to determine whether series converge or diverge. Use only the Divergence Test to determine if the statement is true, false, or can't be decided yet. infinity] This problem has been asked as an exercise in first semester analysis' and find homework. If you get a faction choice of more than one from the results of your aptitude test, you are considered Divergent. You are Tris Prior! You are brave, outgoing, reckless, intelligent, would do anything for your friends and family, curious, and a little bit selfish. It is very easy to see that a simple improper integral may be very hard to decide whether it is convergent or divergent. converges if and only if the. 2 What faction will you choose to be? 1 New leader of a new faction Choose 2 new leaders Choose 2 objects You have 2 minutes 3. If → ∞ ≠ or if the limit does not exist, then ∑ = ∞ diverges. Your Results: If you can keep the two images as one up to 2 you pass divergence test; If you can keep the images into one up to 2 You pass the test. 69¢ cents per set simply click the link below. Lesson 15: Divergence Test - Ohio State University. divergence [di-ver´jens] a moving apart, or inclination away from a common point. In this section we give a general set of guidelines for determining which test to use in determining if an infinite series will converge or diverge. Diversion programs can last from six months to a year or more. In many cases it is possible at least to determine whether or not the series converges, and so we will spend most of our time on this problem. He is the founder and CEO of Divergent Dynamics, a Wi-Fi systems integrator and training organization that specializes in innovative Wi-Fi design, validation, and performance solutions. sum[(-1)^n*(n/ln(n)) n=2. Definition of Convergence and Divergence in Series The n th partial sum of the series a n is given by S n = a 1 + a 2 + a 3 + + a n. Go to Blogger edit html and find these sentences. Test scores of divergent thinking obtained between 1959 and 1972 were correlated with a variety of personality measures administered since 1980. Divergent vector field with embedded sphere. Wynn2 1University of Hertfordshire, 2Oxford Brookes University. a group or clique within a larger group, party, government, organization, or the like. Lesson 15: Divergence Test - Ohio State University. 4 million American adults have some form of schizophrenia, a disorder that affects perception of reality. Hassan reports personal fees from Fujifilm, Norgine, and Sonoscape and nonfinancial support from Olympus outside the submitted work. Divergence describes net flux of "something". Tests for Series Convergence Geometric Series: A series of the form will converge if and only if <1. Tris has multiple opportunities to prove her bravery during Dauntless initiation, and many of them involve jumping from great heights. 1 This test method covers the design, materials, manufacture, and use of a divergence and alignment indicator (DAI) for measuring the effective divergence of a thermal neutron beam used for neutron imaging as well as determining the alignment of the imaging plane relative (usually normal) to the centerline of the beam. a·ligned, a·lign·ing, a·ligns v. That is your gradient in 3D. So the "roles" played by the two distributions are different, and it is important to distribute these roles according to the real-world phenomenon under study. Go to the Amazon page for details and reviews. This is the nth term test for divergence. There are some available programs that can do this. There is an updated version of this activity. The tests attracted me as they present various games to practice thinking skills as well as different ways to conceptualize and operationalize creativity. \sum^\infty_{k=2}. Free Divergent study unit worksheets for teachers to print. In this study, participants were asked to list alternative uses for a paperclip in three minutes. For example, you can perform the multiple alignment with CLUSTAL W (Thompson et al. Explanation of Each Step Step (1) To apply the divergence test, we replace our sigma with a limit. Don't want to start any trouble over something silly. This is the official faction test for the Divergent books. Limit Test for Divergence. Each year, all of the sixteen-year-olds from each faction take an Aptitude Test. An example problem of calculating the divergence and curl of a vector field. Observe that the converse of Theorem 1 is not true in general. If you have questions or comments, don't hestitate to contact us. n an is divergent. Limit Test []. Tests for Series Convergence Geometric Series: A series of the form will converge if and only if <1. If the tail end of the function approaches zero ‘fast enough’ the integral will converge. If the sequence of these partial sums {S n} converges to L, then the sum of the series converges to L. A public limited company, having successful track record of more than Four decades. Statistics Definitions >. Read, in their paper entitled "Multinomial goodness-of-fit tests," J. Find more Mathematics widgets in Wolfram|Alpha. Integral Test. Learn more. "What makes you different makes you dangerous. We get 75% of the information about our environment from vision and vision affects things like reading, handwriting and balance. So the "roles" played by the two distributions are different, and it is important to distribute these roles according to the real-world phenomenon under study. I am a suicidologist. "Delta degrees of freedom": adjustment to the degrees of freedom for the p-value. Hassan reports personal fees from Fujifilm, Norgine, and Sonoscape and nonfinancial support from Olympus outside the submitted work. A one off lesson on an extract from Veronica Roth's Divergent. She is a strong-willed sixteen-year-old girl who hates showing weakness. The Divergence Theorem for Series. There are some available programs that can do this. So the Limit Divergence Test alone cannot say anything more about series convergence or divergence here. Limit Test for Divergence. Description. There are only 6 questions so it won't take long, promise!. Answer to: Using divergence test to determine if the series is divergent or state that the test is inconclusive. 87 Responses. Tris has multiple opportunities to prove her bravery during Dauntless initiation, and many of them involve jumping from great heights. If → ∞ ≠ or if the limit does not exist, then ∑ = ∞ diverges. Powers and Randy Elliot Bennett GRE Board Final Report No. i'm unsure how the excursions are planned yet i think of maximum communities would first pass to Australia for. Harold’s Series Convergence Tests Cheat Sheet 24 March 2016 1 Divergence or nth Term Test convergence and divergence, not. That's quite a long list! Maybe it's using one. Observe that the converse of Theorem 1 is not true in general. Specifically, we address the problem of conjunction non-commutativity. To apply our limit, a little algebraic manipulation will help: we may divide both numerator and denominator by the highest power of k that we have. Search the world's information, including webpages, images, videos and more. (2) If a n involves factorials, usually use Ratio Test, L = lim n!1 a n+1 a n. Geometric Series and Convergence Theorems. Harold’s Series Convergence Tests Cheat Sheet 24 March 2016 1 Divergence or nth Term Test convergence and divergence, not. Find more Mathematics widgets in Wolfram|Alpha. Mathematica » The #1 tool for creating Demonstrations and anything technical. Effects of Examinee Choice on a Test of Divergent Thinking Donald E. So the "roles" played by the two distributions are different, and it is important to distribute these roles according to the real-world phenomenon under study. You are Tris Prior! You are brave, outgoing, reckless, intelligent, would do anything for your friends and family, curious, and a little bit selfish. The Remote Associates Test was administered in a battery of tests of convergent and divergent thinking abilities to 107 high school students. Convergence generally means coming together, while divergence generally means moving apart. Consider the sequence deﬁned by a n = (−1)n+n (−1)n−nDoes this sequence converge and, if it does, to what limit? Answer: Dividing numerator and denominator by n, we have that. In a world divided by factions based on virtues, Tris learns she's Divergent and won't fit in.