Calculus: Early Transcendentals 8th Edition

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

Chapter 11 - Review - True-False Quiz - Page 784: 12



Work Step by Step

As we know, $|a_{n}|\gt a_{n}$ Thus, $\Sigma|a_{n}|\gt \Sigma a_{n}$ Since $\Sigma a_{n}$ diverges when $\Sigma a_{n}=\infty $ and $\Sigma|a_{n}|\gt\infty$ $|\Sigma a_{n}|$ diverges. Hence, the statement is TRUE.
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