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Determine whether the following series converges. Justify your answer. 00 3 In ?k 9 k=1 (Type an exact answer.) 3 In ?k and b. ak OA. Let a = Since lim 17 the series converges by the Limit Comparison Test. ko k IM:

Determine whether the following series converges. Justify your answer. 00 3 In ?k 9 k=1 (Type an exact answer.) 3 In ?k and b. ak OA. Let a = Since lim 17 the series converges by the Limit Comparison Test. ko k IM:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether the following series converges. Justify your answer. 3 In ?k Σ 9 k= 1 (Type an exact answer.) 3 In ?k and bk ak 1 Since lim 17 O A. Let ak the series converges by the Limit Comparison Test. 4 k B. The terms of the series are alternating and their limit is so the series diverges by the Alternating Series Test. OC. The Ratio Test yields r= This is greater than 1, so the series diverges by the Ratio Test. O D. The Ratio Test yields r= This is less than 1, so the series converges by the Ratio Test. O E. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. 3 In ?k ak Let ak and bk 9 Since lim 17 the series diverges by the Limit Comparison Test. OF. 4
Transcribed Image Text:Determine whether the following series converges. Justify your answer. 3 In ?k Σ 9 k= 1 (Type an exact answer.) 3 In ?k and bk ak 1 Since lim 17 O A. Let ak the series converges by the Limit Comparison Test. 4 k B. The terms of the series are alternating and their limit is so the series diverges by the Alternating Series Test. OC. The Ratio Test yields r= This is greater than 1, so the series diverges by the Ratio Test. O D. The Ratio Test yields r= This is less than 1, so the series converges by the Ratio Test. O E. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. 3 In ?k ak Let ak and bk 9 Since lim 17 the series diverges by the Limit Comparison Test. OF. 4
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