Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 8 - Sequences and Infinite Series - 8.2 Sequences - 8.2 Exercises - Page 616: 3


$a_n = \frac{1}{n} = \{1,\frac{1}{2},\frac{1}{3},\frac{1}{4},...\}$

Work Step by Step

$a_n = \frac{1}{n}$ is bounded by $0$ and $1$, since no term can be smaller than $0$ or larger than $1$. Since the terms get closer and closer to $0$, the limit is $0$.
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