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

question 200

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

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