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 - Section 10.9 - Convergence of Taylor Series - Exercises 10.9 - Page 625: 29



Work Step by Step

Find $e^x \sin x$ $e^x \sin x=(1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+....)(x-\dfrac{x^3}{3!}+\dfrac{x^5}{5!}+..)$ $\implies e^x \sin x=x+x^2+\dfrac{x^3}{3}-\dfrac{x^5}{30}-...$
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