Find the Interval of Convergence of the Power Series $\sum _ { n = 0 } ^ { \infty } \frac { ( x - 12 ) ^ { n - 1 } } { 12 ^ { n - 1 } }$

Multiple Choice

Find the interval of convergence of the power series $\sum _ { n = 0 } ^ { \infty } \frac { ( x - 12 ) ^ { n - 1 } } { 12 ^ { n - 1 } }$ .
(Be sure to include a check for convergence at the endpoints of the interval.)

A) $( - \infty , 0 ) \cup ( 24 , \infty )$
B) $( - \infty , 0 ] \cup [ 12 , \infty )$
C) $[ 0,24 ]$
D) $( 0,24 )$
E) $( 0,12 )$