Find the Radius of Convergence of the Power Series $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { n } } { 5 ^ { n } }$

Multiple Choice

Find the radius of convergence of the power series. $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { n } } { 5 ^ { n } }$

A) $\frac { 1 } { 25 }$
B) $\frac { 1 } { 5 }$
C) 5
D) $\infty$
E) 25