Answer
See the details below.
Work Step by Step
The easiest way to find the Maclaurin series for the function $f (x) = \sin(x^2)$ is to find the Maclaurin series for the function $\sin(x)$ and then replace each $x$ by $x^2$.
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: 3
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