Find a Geometric Power Series for the Function Centered at 0

Multiple Choice

Find a geometric power series for the function centered at 0, (i) by the technique shown in Examples 1 and 2 and (ii) by long division. $$f ( x ) = \frac { 10 } { 4 - x }$$

A)
$\sum _ { n = 0 } ^ { \infty } \frac { 5 } { 2 } \left( \frac { x } { 4 } \right) ^ { n } , | x | < 4$
B)
$\sum _ { n = 0 } ^ { \infty } \frac { 1 } { 4 } \left( \frac { x } { 4 } \right) ^ { n } , | x | < 4$
C)
$\sum _ { n = 0 } ^ { \infty } 10 \left( - \frac { x } { 4 } \right) ^ { n } , | x | < 4$
D)
$\sum _ { n = 0 } ^ { \infty } \frac { 5 } { 2 } ( - 4 x ) ^ { n } , | x | < 4$
E)
$\sum _ { n = 0 } ^ { \infty } \frac { 5 } { 2 } ( - x ) ^ { n } , | x | < 1$