Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 11 - Infinite Sequences and Series - 11.10 Taylor and Maclaurin Series - 11.10 Exercises - Page 812: 69

Answer

$1+\frac{x^{2}}{6}+\frac{7x^{4}}{360}$

Work Step by Step

$y=\frac{x}{sinx}$ $sinx=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-....$ $\frac{x}{sinx}=\dfrac{x}{x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-....}$ $\approx 1+\frac{x^{2}}{6}+\frac{7x^{4}}{360}$
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