Find the Limit of the Sequence (If It Exists) $\alpha _ { n } = \frac { 2 n } { n ^ { 2 } + 7 }$

Multiple Choice

Find the limit of the sequence (if it exists) . $\alpha _ { n } = \frac { 2 n } { n ^ { 2 } + 7 }$

A) $\lim_ { n \rightarrow \infty } \alpha _ { n } = 0$
B) $\lim_ { n \rightarrow \infty } \alpha _ { n } = 2$
C) $\lim_ { n \rightarrow \infty } \alpha _ { n } = 7$
D) $\lim_ { n \rightarrow \infty } \alpha _ { n } = - 2$
E) does not exist