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
$R=\frac{1}{c}$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 11 - Section 11.8 - Power Series - 11.8 Exercises - Page 752: 39
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