Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 11 - Infinite Sequences and Series - 11.1 Exercises - Page 724: 23

Answer

The $\lim\limits_{n \to \infty}$ is 1, so the sequence converges to 1.

Work Step by Step

$a_{n}= 1-(0.2)^{n}= 1-(\frac{1}{5})^n$ $\lim\limits_{n \to \infty} (a_{n}) =\lim\limits_{n \to \infty} (1-(0.2)^{n})=1$
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