Find the Limit of the Sequence (If It Exists) $\alpha _ { n } = \frac { ( n + 6 ) ! } { n ! }$

Multiple Choice

Find the limit of the sequence (if it exists) . $\alpha _ { n } = \frac { ( n + 6 ) ! } { n ! }$

A) $\lim_ { n \rightarrow \infty }\alpha _ { n } = - 6$
B) $\lim_ { n \rightarrow \infty } \alpha _ { n } = 0$
C) $\lim_ { n \rightarrow \infty } \alpha _ { n } = 1$
D) $\lim_ { n \rightarrow \infty } \alpha _ { n } = 6$
E) $\lim _ { n \rightarrow \infty }a _ { n } = \infty$