For the following function, find the full power series centered at $x=0$ and then give the first 5 nonzero terms of the power series and the open interval of convergence.

$$f(x) = \frac{3}{6-x}$$

$f(x) = \displaystyle\sum\limits_{n=0}^{\infty}$

$f(x) =$ $+$ $+$ $+$ $+$ $+ \cdots$

The open interval of convergence is: (Give your answer in interval notation.)