Q 9) Does the series: ∞ ∑ 1/4n-1 n=1 converge or diverge? Give a reason for your answer. options are atatched Thanks for the help
Q 9) Does the series: ∞ ∑ 1/4n-1 n=1 converge or diverge? Give a reason for your answer. options are atatched Thanks for the help
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q 9) Does the series:
∞
∑ 1/4n-1
n=1
converge or diverge? Give a reason for your answer.
options are atatched
Thanks for the help

Transcribed Image Text:The series converges because it is a p-series with p=1.
3
00
1
The series diverges because the integral -
N
-dx diverges.
4x - 1
2
The series converges because the integral
4
N
-dx converges.
4x - 1
The series diverges because lim
n-8
1
4n - 1
#0.

Transcribed Image Text:Σ
0 = 1
1
40 - 1
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