Find the limit of the sequence if it converges; otherwise indicate divergence.
-$$a _ { n } = \frac { n ! } { 5 ^ { n } \cdot 3 ^ { n } }$$
A) 0
B) $\mathrm { e } ^ { 15 }$
C) 1
D) Diverges

Name: Find the limit of the sequence if it converges; otherwise indicate divergence. -\[a _ { n } = \frac { n ! } { 5 ^ { n } \cdot 3 ^ { n } }\] A) 0 B) $\mathrm { e } ^ { 15 }$ C) 1 D) Diverges
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Question

Quizplus · Accepted Answer

The limit of the sequence is 0 because the denominator grows much faster than the numerator.

Find the Limit of the Sequence If It Converges; Otherwise an=n!5n⋅3na _ { n } = \frac { n ! } { 5 ^ { n } \cdot 3 ^ { n } }an​=5n⋅3nn!​

Find the Limit of the Sequence If It Converges; Otherwise $a _ { n } = \frac { n ! } { 5 ^ { n } \cdot 3 ^ { n } }$