Answer
No
Work Step by Step
When integrate or differentiate a power series the radius of convergence remains the same under either operation. This can easily be proved using the Ratio Test.
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 682: 5
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