Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 10: Infinite Sequences and Series - Section 10.2 - Infinite Series - Exercises 10.2 - Page 580: 68



Work Step by Step

Formula to calculate the sum of a geometric series is: $S=\dfrac{a}{1-r}$; The series is a divergent geometric series with $a=1$ and common ratio $r =|\dfrac{e^\pi}{\pi^e}|$ or, $r==\dfrac{23141}{22.459}$ and $|r|=|\dfrac{23141}{22.459}| \gt 1$ Hence, the series diverges.
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