Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 9 - Infinite Series - 9.3 Infinite Series - Exercises Set 9.3: 17

Answer

False.

Work Step by Step

Just because a sequence converges doesn't mean that the series diverges. For example, the sequence $a_n=2$ converges at 2, but a sum of infinite $2$s is infinity, making the series diverge.
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