Answer
$R=\frac{1}{c}$
Work Step by Step
$\lim\limits_{n \to \infty} \sqrt[n] {|c_{n}x^{n}|}=|x|\lim\limits_{n \to \infty} \sqrt[n] {|c_{n}|}$
$=c|x|\lt 1$ for convergence,
or $|x|\lt 1/c $ so we will get
$R=\frac{1}{c}$
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 - 11.8 Exercises - Page 770: 39
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