divergent?

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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For number 5 c, can you show why the part circled in green is divergent and what test was used? Thank you.

direct comparisorntest
5.
Find the series' radius and interval of convergence. For what values of x does
the series converge absolutely? Conditionally?
a) §(x-2)*
10
b) Š(-1)"(x+2)"
c) Ž
-(-1)*"(x+2)"
x"
n+1
d) Ž
n3D0
n=1
n' +3
n2"
n=0
n=1
Transcribed Image Text:direct comparisorntest 5. Find the series' radius and interval of convergence. For what values of x does the series converge absolutely? Conditionally? a) §(x-2)* 10 b) Š(-1)"(x+2)" c) Ž -(-1)*"(x+2)" x" n+1 d) Ž n3D0 n=1 n' +3 n2" n=0 n=1
5c
しX
n²+3
s++り +gU
女+0eteU
|>メラ|-
314
divergent?
Convergent
harmonic
rn²+3
Transcribed Image Text:5c しX n²+3 s++り +gU 女+0eteU |>メラ|- 314 divergent? Convergent harmonic rn²+3
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