Find the Taylor series centered $atc=-1.$

$f(x)=\frac{2}{3x-2}$

Identify the correct expansion.

${\displaystyle \underset{n=0}{\overset{}{}}}\frac{3^n}{2^{n+1}}(x-2{)}^n$

${\displaystyle \underset{n=0}{\overset{}{}}}\frac{3^n-2}{5^{n+1}}(x+1{)}^n$

$2{\displaystyle \underset{n=0}{\overset{}{}}}\frac{3^n}{5^{n-1}}(x+1{)}^n$

$-2{\displaystyle \underset{n=0}{\overset{}{}}}\frac{3^n}{5^{n+1}}(x+1{)}^n$

Find the interval $on$ which the expansion $is$ valid.