11) Test the series for convergence of divergence (-1)n sin² (3n) n Use divergence test n=1 Identify the corresponding positive terms bn= Evaluate the limit I'm bn. N-D∞ Since lim bn is hoo #1 =1 #0 = 0 > 1 the test tells us that 7 converges diverges nothing

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
Transcribed Image Text: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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