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

Answer

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.
Small 1555017870
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.