Find the Interval of Convergence and Radius of Convergence of the Power

Find the interval of convergence and radius of convergence of the power series: $$\sum _ { k = 0 } ^ { \infty } ( k + 1 ) ! x ^ { k }$$

A) R = 1, interval of convergence: (-1, 1)
B) R = 0, series converges only when x = 1
C) R = 0, series converges only when x = 0
D) R = 1, interval of convergence: (0, 2)