$\lim _{n \rightarrow \infty} \frac{n !}{(n+1) !-n !}=$

Question

Aicharya · Accepted Answer

$\begin{gathered} \operatorname{Lim}_{n \rightarrow \infty} \frac{n !}{(n+1) !-n !}=\operatorname{Lim}_{n \rightarrow \infty} \frac{1}{(n+1)-1} \ =\operatorname{Lim}_{n \rightarrow \infty} \frac{1}{n}=0 \end{gathered}$

\(\lim _{n \rightarrow \infty} \frac{n !}{(n+1) !-n !}=\)

Solution