Calculus 8th Edition

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

Chapter 11 - Infinite Sequences and Series - 11.6 Absolute Convergence and the Radio and Root Tests - 11.6 Exercises - Page 783: 5


By comparison test, the series converges as bn is a geometric series with radio<1

Work Step by Step

To prove absolute convergence, use the root test on $b_{n}$. The limit is less than one, proving its absolute convergence.
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