A known series is for

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

Problem

A known series is

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

for

|x|<1

. Derive a power-series representation for

\dfrac{1}{(1-x)^2}

and state the coefficient of

x^{10}

in that series.