Find a geometric power series for the function, centered $at0,by$ the following methods. $f(x)=\frac{3}{2+x}$

$(a)by$ first writing $f(x)in$ the form $\frac{a}{1-r}$ and then finding the power series $f(x)={\displaystyle \underset{n=0}{\overset{}{}}}$

$(b)by$ long division $(Give$ the first three terms.$)$

$f(x)=$