Find a power series representation for the function. Determine the interval of convergence. $($Give your power series representation centered at $x=0.)$

$f(x)=\frac{3}{4-x}$

Step $1$

We wish to express $f(x)=\frac{3}{4-x}$ in the form $\frac{1}{1-r}$ and then use the following equation.