Consider the Function Given By $f ( x ) = \sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 14 } \right) ^ { n }$

Multiple Choice

Consider the function given by $f ( x ) = \sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 14 } \right) ^ { n }$ .
Find the interval of convergence for $f ^ { t } ( x )$

A) $[ - 14,14 )$
B) $( - 14,0 ]$
C) $( 0,14 )$
D) $[ - 14,14 ]$
E) $( - 14,14 )$