Find the limit of the following sequence. $a _ { n } = \frac { ( n - 2 ) ! } { n ! }$
A)3
B)1
C) $0$
D)-3
E)The sequence diverges.

Name: Find the limit of the following sequence. $a _ { n } = \frac { ( n - 2 ) ! } { n ! }$ A)3 B)1 C) $0$ D)-3 E)The sequence diverges.
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Question

Quizplus · Accepted Answer

The limit of the sequence $a_n = \frac{(n-2)!}{n!}$ as $n$ approaches infinity is 0. This is because $n!$ grows much faster than $(n-2)!$, leading the fraction to approach 0.

Find the Limit of the Following Sequence an=(n−2)!n!a _ { n } = \frac { ( n - 2 ) ! } { n ! }an​=n!(n−2)!​

Find the Limit of the Following Sequence $a _ { n } = \frac { ( n - 2 ) ! } { n ! }$