Answer
Diverges
Work Step by Step
Given
$$ \sum_{n=0}^{n=\infty} \left(\frac{\pi}{e}\right)^{n}$$
Since the series is a geometric series with $|r|=\left|\frac{\pi}{e}\right|>1$ , then the series diverges.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 11 - Infinite Series - 11.2 Summing and Infinite Series - Exercises - Page 547: 28
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