Find the Interval of Convergence of the Power Series $$\sum _ { n = 1 } ^ { \infty } \frac { ( x - 4 ) ^ { n - 1 } } { 4 ^ { n - 1 } }$$

Multiple Choice

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) $$\sum _ { n = 1 } ^ { \infty } \frac { ( x - 4 ) ^ { n - 1 } } { 4 ^ { n - 1 } }$$

A) $( 0,4 )$
B) $( - 4,4 )$
C) $( 4,8 )$
D) $( - 8,8 )$
E) $( 0,8 )$