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Suppose the series an converges to a number S. Let RS-Sn Determine the truth of the following statement and give a reason why your answer is correct: IRnls lan+11. O True. Rn=an+1 for any series. False. Rn= ak so this bound is never valid. kun+1 False. This bound is only guaranteed to work if the series is alternating. O True. Since the series converges we know lim an=0 so the largest contribution is given by an+1+ 810

Suppose the series an converges to a number S. Let RS-Sn Determine the truth of the following statement and give a reason why your answer is correct: IRnls lan+11. O True. Rn=an+1 for any series. False. Rn= ak so this bound is never valid. kun+1 False. This bound is only guaranteed to work if the series is alternating. O True. Since the series converges we know lim an=0 so the largest contribution is given by an+1+ 810

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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Suppose the series an converges to a number S. Let R=S-Sn. Determine the truth of the following statement and give a reason why your answer is correct: IRnls lan+11. O True. Rn=an+1 for any series. False. Rn= ak so this bound is never valid. k=n+1 O False. This bound is only guaranteed to work if the series is alternating. O True. Since the series converges we know liman=0 so the largest contribution is given by an+1. Submit Answer
Transcribed Image Text:Suppose the series an converges to a number S. Let R=S-Sn. Determine the truth of the following statement and give a reason why your answer is correct: IRnls lan+11. O True. Rn=an+1 for any series. False. Rn= ak so this bound is never valid. k=n+1 O False. This bound is only guaranteed to work if the series is alternating. O True. Since the series converges we know liman=0 so the largest contribution is given by an+1. Submit Answer
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