Answer
$$f(x)
=2+3x+2x^2+2x^3+...$$
Work Step by Step
The first four terms of the Maclaurin series of $f (x) $ are
$$f(x)=f(0)+f'(0)x+f''(0)x^2/2!+f'''(0)x^3/3!+...\\
=2+3x+2x^2+2x^3+...$$
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 - Exercises - Page 588: 1
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