Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 11 - Section 11.6 - Absolute Convergence and the Ratio and Root Tests - 11.6 Exercises: 1

Answer

(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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