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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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Transcribed Image Text:To test the series
n=1
so we could also investigate convergence using other methods.)
Find the value of
-6n
e for convergence, you can use the Integral Test. (This is also a geometric series,
1
∞
-6x
e dx =
What does this value tell you about the convergence of the series
∞
n=1
e-6n,
the series definitely diverges
the series definitely converges
O the series might converge or diverge: we need more information
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