Menu Close

Category: None

Question-146886

Question Number 146886 by Khalmohmmad last updated on 16/Jul/21 Commented by EDWIN88 last updated on 16/Jul/21 $$!\mathrm{n}\:=\mathrm{n}!\:\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{n}} {\sum}}\frac{\left(−\mathrm{1}\right)^{\mathrm{k}} }{\mathrm{k}!} \\ $$$$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\frac{!\mathrm{n}}{\mathrm{n}!}\:=\:\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{n}!\:\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{n}}…