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

question 144

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) \(\lim _ { n \rightarrow \infty }a _ { n } = \infty\)

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