QUESTION $14$

The coefficient of $(x-3{)}^2$ in the power series representation of $f(x)=\frac{1}{2x+3}$ centered at $c=3$ is

A$.\frac{4^2}{6^3}$

B$.\frac{4}{3^6}$

C$.\frac{1}{3^6}$

D$.\frac{4^2}{3^6}$

E$.(\frac{4}{3}{)}^6$