Find a power series representation for the function.

$f(x)=\frac{x^3}{6x^{2}1}$

a$.{\displaystyle \underset{n=0}{\overset{}{}}}(-6{)}^n{x}^{2n3}$

b$.x^3{\displaystyle \underset{n=0}{\overset{}{}}}(-6{)}^n{x}^n$

c$.{\displaystyle \underset{n=0}{\overset{}{}}}{6}^n{x}^{2n3}$

d$.{\displaystyle \underset{n=0}{\overset{}{}}}(-6{)}^n{x}^{2n}$

e$.{\displaystyle \underset{n=0}{\overset{}{}}}{6}^n{x}^{2n}$