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 782: 1


(a) divergent (b) absolutely convergent (c) could converge or diverge

Work Step by Step

a) By the definition of the ratio test, $r\gt1 $ and thus the series must diverge. b) Since r is less than 1, the series is absolutely convergent by the ratio test. c) The ratio test fails when $r=1$. So the series could converge or diverge
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