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Determine whether the series is absolutely convergent, conditionally convergent, or divergent: 712" 2 (8") 71:1 The series is ? Preview My Answers You have attempted this problem 0 times. 0 You have 7 attempts remaining' Email Instructor Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is ' inconclusive. mm)" W1 L : lim 1"/|an| : D (Enter 'inf' for 00.) 13*)50 i (trims: ":1 A. convergent ' B. divergent C. The Root Test is inconclusive Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Classify each series as absolutely Convergent, Conditionally Convergent, or Divergent. oo _8 k (a) Z ( k2) ? k:1 00 (_1)k+1 (b) ; (19+ 6)! O 0 Note: You can earn martial credit on this nmhlem, Applying the ratio test to the series 0 5k~1 19:1 (16+ 1)2'4k' =th=0 you would compute . a 1 11m ' k+ J's>00 ale Hencethe series converges 0 Note that you will have to simplify your answer for the limit or you will get an error message. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times' You have 7 attempts remaining. Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. i i": ":1 (2n + 1)! = D (Enter 'inf' for 00.) A. convergent B. divergent = C. The Ratio Test is inconclusive Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is inconclusive. Z ("871 TF1 L : lim {7 Iam| : C] (Enter 'inf' for 00.) H~)DO 1 2 "Ta. is: n=1 A. convergent B. divergent ' C. The Root Test is inconclusive Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Settings 8 ":1 | converges to p = %. What can you say about the convergence of the given series? :0 Z. . 1') : n a." in=1 71:1 Assume that ' em'l Iim ' g" =0 (Enter 'inf' for 00.) 19)00 7" em 2 oo 6 em 3 Z 'n, a." is: 75:1 em 4 5. 7 A. convergent em 5 L T B. divergent em 6 :4? C. The Ratio Test is inconclusive em 7 em 8 . . . Note: You can earn partial credit on this problem. em 9 em 10 Preview My Answers Submit Answers em 11 You have attempted this problem 0 times. em 12 SequencesSeriesZ: Problem 29 I (1 point) Determine whether the series is absolutely convergent, conditionally convergent, or divergent: i W" I ,P n+3 The series is ? O 00 ' *2 Consider the series 2 () . Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does 1:1 arctann ' not exist, type "DNE'K 11m " Ianl : L '}DO Answer: L = D What can you say about the series using the Root Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: choose one 0 Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: choose one 0 Note: In order to get credit for this problem all answers must be correct Consider the series E a,n where n=1 _ (8n + 5)9" a" 11n+2 In this problem you must attempt to use the Ratio Test to decide whether the series converges Compute "11+ 1 an L: 11111 noo Enter the numerical value of the limit L if it converges, INF if the limit for L diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. he Which of the following statements is true? A. The Ratio Test says that the series converges absolutely. B. The Ratio Test says that the series diverges. C. The Ratio Test says that the series converges conditionally. D. The Ratio Testis inconclusive, but the series converges absolutely by another test or tests. E. The Ratio Test is inconclusive, but the series diverges by another test or tests. F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here: ? 0 Note: In order to get credit for this problem all answers must be correct