Find the Radius of Convergence of the Series $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n + 4 } ( x - 8 ) ^ { n + 4 } } { n + 4 }$

Multiple Choice

Find the radius of convergence of the series $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n + 4 } ( x - 8 ) ^ { n + 4 } } { n + 4 }$ .

A) 10
B) 7
C) 8
D) 12
E) 4