Calculus: Early Transcendentals (2nd Edition)

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: 4

Answer

Absolute convergence implies convergence

Work Step by Step

Absolute convergence implies convergence (according to Theorem 8.21), so testing a power series for absolute convergence leads to determining values of $x$ fr which the series converges.
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