Answered: 11) Test the series for convergence of… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 49E

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11) Test the series for convergence of divergence
(-1)n sin²
n
Use divergence test
n=1
Identify the corresponding positive terms bn=
Evaluate the limit I'm bn
=
N-D∞
Since lim bn is
hæ
#1
=1
#0
= 0
2
the test tells us that
7
converges
diverges
nothing

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