Find the Limit of the Sequence (If It Exists) $\alpha _ { n } = \frac { ( - 4 ) ^ { n + 1 } } { n ^ { 2 } }$

Multiple Choice

Find the limit of the sequence (if it exists) .
$\alpha _ { n } = \frac { ( - 4 ) ^ { n + 1 } } { n ^ { 2 } }$

A) $\lim _ { n \rightarrow \infty } \alpha _ { n } = - 4$
B) $\lim_ { n \rightarrow \infty } \alpha _ { n } = 0$
C) $\lim _ { n \rightarrow \infty }\alpha _ { n } = 4$
D) $\lim _ { n \rightarrow \infty } \alpha _ { n } = \frac { 1 } { 4 }$
E) does not exist