Calculus, 10th Edition (Anton)

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

Chapter 9 - Infinite Series - 9.1 Sequences - Exercises Set 9.1 - Page 606: 30

Answer

Converges to 0

Work Step by Step

The general term is $T_{n}=\frac{(-1)^{n+1}}{3^{n+4}}$ $\lim\limits_{n \to \infty}$ $T_{n}$ = $\lim\limits_{n \to \infty}$ $\frac{(-1)^{n+1}}{3n+4}$ = $\frac{(-1)^{n+1}}{\infty}$ = 0
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