Question Number 91274 by M±th+et+s last updated on 29/Apr/20
![lim_(n→∞) n^(−n^2 ) [(n+1)(n+(1/2))....(n+(1/2^(n−1) ))]^n](https://www.tinkutara.com/question/Q91274.png)
$$\underset{{n}\rightarrow\infty} {{lim}n}^{−{n}^{\mathrm{2}} } \left[\left({n}+\mathrm{1}\right)\left({n}+\frac{\mathrm{1}}{\mathrm{2}}\right)….\left({n}+\frac{\mathrm{1}}{\mathrm{2}^{{n}−\mathrm{1}} }\right)\right]^{{n}} \\ $$