Calculus, 10th Edition (Anton)

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

Chapter 9 - Infinite Series - 9.2 Monotone Sequences - Exercises Set 9.2 - Page 613: 15

Answer

False

Work Step by Step

Let us take an example: $a_n=5 \sin (n)$ We can see that the sequence is bounded but is not converging. Thus, the given statement is false.
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