Answer
Sequence converges to 1
Work Step by Step
$a_{n}=1+(\frac{-2}{e})^{n}$
$\lim\limits_{n \to \infty} [1+(\frac{-2}{e})^{n}]$
$=\lim\limits_{n \to \infty} 1 + \lim\limits_{n \to \infty} (\frac{-2}{e})^{n}$
$=1+0$
$=1$
Sequence converges to 1
Multivariable Calculus, 7th Edition
by Stewart, James
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 725: 57
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