Answer
$6+6x^{2}+6x^{3}+...+6x^{n}+...$
Work Step by Step
We are given $f(x)=\frac{6}{1-x}$
with $a=6$ for $r$ in $(-1,1)$
The Taylor series for $f(x)=\frac{6}{1-x}$ is
$6+6x^{2}+6x^{3}+...+6x^{n}+...$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 12 - Sequences and Series - 12.5 Taylor Series - 12.5 Exercises - Page 647: 1
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