Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 10: Infinite Sequences and Series - Practice Exercises - Page 636: 55

Answer

$2$

Work Step by Step

Consider the Maclaurin Series for $e^x$ as follows: $e^x=\Sigma_{n=0}^\infty \dfrac{x^n}{n!}=1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+\dfrac{x^4}{4!}+...$ As we are given that $x=\ln 2$ Then, we have $e^{x}=e^{(\ln 2)}=2$
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