Find the Interval of Convergence of the Power Series $$\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } n ! ( x - 10 ) ^ { n } } { ( 9 ) ^ { n } }$$

Multiple Choice

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) $$\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } n ! ( x - 10 ) ^ { n } } { ( 9 ) ^ { n } }$$

A) $\{ 10 \}$
B) $( - 10,10 )$
C) $\{ 0 \}$
D) $[ - 10,10 )$
E) $( - \infty , \infty )$