Determine the Radius of Convergence for the Given Power Series $\sum _ { k = 0 } ^ { \infty } \frac { k ! x ^ { k } } { 6 ^ { k } }$

Multiple Choice

Determine the radius of convergence for the given power series. $\sum _ { k = 0 } ^ { \infty } \frac { k ! x ^ { k } } { 6 ^ { k } }$

A) $R =$ $\frac { 1 } { 6 }$
B) $R =$ 6
C) $R =$ $\infty$
D) $R =$ 0