Use Root Test to determine whether the series E(-1)"en² sin²n n=1 absolutely converges, conditionally converges, or diverges. Use the result in (a) and Limit Comparison Test to determine whether the series +o0 >n² sin?n n=1 diuongog

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Use Root Test to determine whether the series
E(-1)"en² sin?n
n=1
en
absolutely converges, conditionally converges, or diverges.
Use the result in (a) and Limit Comparison Test to determine whether the series
+oo
>n? sin2n
(-)
n=1
converges or diverges.
Transcribed Image Text:Use Root Test to determine whether the series E(-1)"en² sin?n n=1 en absolutely converges, conditionally converges, or diverges. Use the result in (a) and Limit Comparison Test to determine whether the series +oo >n? sin2n (-) n=1 converges or diverges.
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