To test the series > for convergence, you will use the Limit Comparison Test, 8k5 + 3k8 k=1 where p = 3kP k=1 comparing it to the p series 1 Now by the limit comparison test, the series 8k5 + 3k8 k=1 converges diverges

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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To test the series
for convergence, you will use the Limit Comparison Test,
8k5 + 3k8
k=1
1
where p =
3kP
comparing it to the
series
k=1
1
Now by the limit comparison test, the series
8k5 + 3k8
k=1
converges diverges
Transcribed Image Text:1 To test the series for convergence, you will use the Limit Comparison Test, 8k5 + 3k8 k=1 1 where p = 3kP comparing it to the series k=1 1 Now by the limit comparison test, the series 8k5 + 3k8 k=1 converges diverges
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