Series - Ratio and Root Tests: Problem 13 (1 point) Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is inconclusive. i\": ( n + 15 )" ":1 5n + 20 L = lim {5' lent = (Enter 'inf' for 00.) nHx: 90 . :2 (523) 11:1 A. convergent O B. divergent O c. The Root Test is inconclusive Series - Ratio and Root Tests: Problem 14 (1 point) Assume that l \"\"1 | converges to p : %. What can you say about the convergence of the given series? an (X) {D D: = anaa \":1 n2] ' a! = I -- \"1330' by: a (Enter ml" for oo.) 90 E raga.\" is: 11:1 A. convergent O B. divergent O C. The Ratio Test is inconclusive Series - Ratio and Root Tests: Problem 16 (1 point) 00 Use the ratio test to determine whether 2 converges or diverges. \":21 (211.)! (a) Find the ratio of successive terms. Write your answer as a fully simplied fraction. For n 2 21, (b) Evaluate the limit in the previous part. Enter 00 as innity and 00 as innity. If the limit does not exist, enter DNE, Hm=@ nmo a,\" (o) By the ratio test, does the series converge, diverge. or is the test inconclusive? Converges v Hm'wu nloo (1n Series - Ratio and Root Tests: Problem 17 (1 point) n + 5 Use the ratio test to determine whether converges or diverges. n! (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 2 7, lim an+1 lim n-+00 an (b) Evaluate the limit in the previous part. Enter co as infinity and -oo as -infinity. If the limit does not exist, enter DNE. lim an+1 0 2-+00 an (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? ConvergesSeries - Ratio and Root Tests: Problem 3 (1 point) 2" n! Consider the series M 8 6 . 9 . 12 . . . . . (3n + 3) . Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". lim an+1 = L an Answer: L = What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: Convergent v Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: Absolutely Convergent vSeries - Ratio and Root Tests: Problem 4 (1 point) 00 3 n! Consider the series . Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". nn n=1 lim an+1 = L n-+00 an Answer: L = What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: Divergent Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: Absolutely Convergent vSeries - Ratio and Root Tests: Problem 5 (1 point) 1 Consider the series IM8 (5n)! Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". lim an+1 = L n-+00 an Answer: L What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: Convergent v Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: Absolutely ConvergentSeries - Ratio and Root Tests: Problem 6 (1 point) Consider the series (-1)n n46n -. Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". n= 1 n! lim an+1 = L n-+00 an Answer: L : What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: Convergent v Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: Absolutely Convergent