Calculus (3rd Edition)

by Rogawski, Jon; Adams, Colin

Published by W. H. Freeman

ISBN 10: 1464125260

ISBN 13: 978-1-46412-526-3

Chapter 11 - Infinite Series - 11.7 Taylor Series - Preliminary Questions - Page 588: 2

Answer

$$f(-2)=0, \quad f^{(4)}(-2)=2 (4!)=48.$$

Work Step by Step

We have the expansion at $x=-2$, so by the comparison with the Taylor series, we get that $$f(-2)=0, \quad f^{(4)}(-2)=2 (4!)=48.$$

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