Express the function as a power series by first using partial fractions.

$f(x)=\frac{2x5}{x^{2}5x4}$

a$.{\displaystyle \underset{n=0}{\overset{}{}}}(-1{)}^n{x}^n$

b$.{\displaystyle \underset{n=0}{\overset{}{}}}(-1{)}^n(5\frac{1}{4^{n1}})x^n$

c$.{\displaystyle \underset{n=0}{\overset{}{}}}(\frac{1}{4^{n1}})x^n$

d$.{\displaystyle \underset{n=0}{\overset{}{}}}(-1{)}^n(1\frac{1}{4^{n1}})x^n$

e$.{\displaystyle \underset{n=0}{\overset{}{}}}(1-\frac{1}{2^{n1}})x^n$