Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 11 - Infinite Sequences and Series - 11.8 Power Series - 11.8 Exercises - Page 792: 41


radius of convergence of $\sum_{k=0}^{\infty} (c_{n}+d_{n})x^{n}=2$

Work Step by Step

$\sum_{k=0}^{\infty} c_{n}(x_{0}^{n}=\sum_{k=0}^{\infty} (c_{n}+d_{n})(x_{0})^{n}-\sum_{k=0}^{\infty} d_{n}(x_{0}^{n}) $ is convergent. Hence, the radius of convergence of $\sum_{k=0}^{\infty} (c_{n}+d_{n})x^{n}=2$
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