Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 10: Infinite Sequences and Series - Section 10.5 - Absolute Convergence; The Ratio and Root Tests - Exercises 10.5 - Page 598: 32

Answer

$\lim\limits_{n \to \infty} | \frac{a_{n+1}}{a_{n}}| = \frac{1}{2} < 1 $ Thus , the series converges by ratio test .

Work Step by Step

$\lim\limits_{n \to \infty} | \frac{a_{n+1}}{a_{n}}| = \frac{1}{2} < 1 $ Thus , the series converges by ratio test . Solution is attached below :
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.