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Limit

Evaluate : l...

Question

Evaluate :
$lim n \to \infty \frac{n!}{(n + 1)! - n!}$

A

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B

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C

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D

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Solution

The correct option is B $0$
We have,
$l i m_{n \to \infty} \frac{n!}{(n + 1)! - n!}$

$= l i m_{n \to \infty} \frac{n!}{(n + 1) n! - n!}$

$= l i m_{n \to \infty} \frac{1}{n + 1 - 1} = l i m_{n \to \infty} \frac{1}{n} = 0$

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