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1. Using the Root Test, determine whether the series (-1)"en: sin 2n '(금) is absolutely convergent, conditionally convergent, or divergent. n=1

1. Using the Root Test, determine whether the series (-1)"en: sin 2n '(금) is absolutely convergent, conditionally convergent, or divergent. n=1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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1. Using the Root Test, determine whether the series >(-1)"e"´ sin2n is absolutely convergent, conditionally convergent, or divergent. en n=1 2. Using the result in the first item and Limit Comparison Test, determine whether the series > n² sin 1 is a convergent or divergent. 2n en n=1
Transcribed Image Text:1. Using the Root Test, determine whether the series >(-1)"e"´ sin2n is absolutely convergent, conditionally convergent, or divergent. en n=1 2. Using the result in the first item and Limit Comparison Test, determine whether the series > n² sin 1 is a convergent or divergent. 2n en n=1
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