Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 9 - Infinite Series - 9.2 Exercises - Page 601: 48

Answer

The geometric series converges.

Work Step by Step

The series is a geometric series where r = $\frac{1}{5}$. Because the value of r is less than 1, the series converges by Theorem 9.6.
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