Question

Find : $\displaystyle \lim_{n\to \infty} [\frac{(2n)!}{n!n^{n}}]^{\frac{1}{n}}$​

Answer 1

Hey sir !

_______________

Kindly refer to the attachment above !

2 attachments are added.

Do thanks if correct and delete if wrong.

The final answer is $\bf \frac{4}{e}$

_____________

Thanks !