Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 12 - Sequences and Series - 12.5 Taylor Series - 12.5 Exercises - Page 647: 25



Work Step by Step

The Taylor series for $e^x$ with $r$ in $(-\infty,\infty)$ is $1+x+\frac{1}{2!}x^2+\frac{1}{3!}x^3+...+\frac{1}{n!}x^n+...$ We can use the first few terms of a Taylor Series to get an approximate value for a function. Hence, we can suggest that $e^x\approx1+x+\frac{x^2}{2}$
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