Test the Series $\sum _ { n = 1 } ^ { \infty } \frac { n 4 ^ { n } } { n ! }$

Multiple Choice

Test the series $\sum _ { n = 1 } ^ { \infty } \frac { n 4 ^ { n } } { n ! }$ for convergence or divergence using any appropriate test.

A) diverges
B) converges