Given for , obtain a power series for and write its general…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Given

\displaystyle \frac{1}{1-x}=\sum_{n=0}^{\infty}x^{n}

for

|x|<1

, obtain a power series for

\displaystyle \frac{2}{(1-x)^{3}}

and write its general term.