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1. Does the series (-1)"en? sin?n converge absolutely, conditionally, or diverge? Use Root Test to determine. en n=1 2. Does the series n' sin2n en 1 converge or diverge? Use the result in Item 1 and Limit Comparison Test to determine. n=1

1. Does the series (-1)"en? sin?n converge absolutely, conditionally, or diverge? Use Root Test to determine. en n=1 2. Does the series n' sin2n en 1 converge or diverge? Use the result in Item 1 and Limit Comparison Test to determine. n=1

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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1. Does the series (-1)"e"² sin2n 1 converge absolutely, conditionally, or diverge? Use Root Test to determine. en n=1 2n 2. Does the series > n² sin en converge or diverge? Use the result in Item 1 and Limit Comparison Test to determine. n=1
Transcribed Image Text:1. Does the series (-1)"e"² sin2n 1 converge absolutely, conditionally, or diverge? Use Root Test to determine. en n=1 2n 2. Does the series > n² sin en converge or diverge? Use the result in Item 1 and Limit Comparison Test to determine. n=1
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