## Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning

# Chapter 11 - Section 11.6 - Absolute Convergence and the Ratio and Root Tests - 11.6 Exercises - Page 742: 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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