Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 9 - Power Series - 9.4 Working with Taylor Series - 9.4 Exercises - Page 702: 3

Answer

Substitute -0.6 for $x$ in the corresponding Taylor series of $e^x$

Work Step by Step

In order to approximate $e^{-0.6}$, we write the Taylor series corresponding to $f(x)=e^x$, then substitute -0.6 for $x$. $e^x=1+x+\dfrac{x^2}{2!}+....$
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