Answer
See the explanation
Work Step by Step
In Example 7 we have:
$\tan^{-1}x=\sum_{n=0}^\infty (-1)^n\frac{x^{2n+1}}{2n+1}$ with radius of convergence $1$.
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 11 - Infinite Sequences and Series - 11.9 Exercises - Page 777: 41
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