Directions: Consider the following function:

$f(x)=\frac{2}{4-x}$

Find a power series representation centered at $a=0$ for the function $f(x)($in sigma notation$).$

$f(x)={\displaystyle \underset{n=0}{\overset{}{}}}$

Find the Interval of Convergence for this series.

Interval: $$

Answer Formats

If necessary, enter INF for $$ and $-$ INF for $-.$

Write any intervals using interval notation.

If the power series converges at a single value $x=c,$ but diverges for all other $x-$values, write the interval of convergence as $\{c\}.$