Answer
$a-R \lt x \lt a+R$
Work Step by Step
We are given the series $f(x)=\Sigma c_k x^k$ with $|x| \lt R$
The interval of convergence is given by:
$|x-a| \lt R \implies a-R \lt x \lt a+R$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 9 - Power Series - 9.2 Properties of Power Series - 9.2 Exercises - Page 683: 61
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