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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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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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