Answer
$-3+-3x^{2}-3x^{3}-...-x^{n}-...$
Work Step by Step
We are given $f(x)=\frac{-3}{1-x}$
with $a=-3$ for $r$ in $(-1,1)$
The Taylor series for $f(x)=\frac{-3}{1-x}$ is
$f(x)=a_{0}+a_{1}x+a_{2}x^{2}+...+a_nx^{n}+...$
$=-3+-3x^{2}-3x^{3}-...-x^{n}-...$
