Inspired by Calvin Lin!

Calculus Level 4

$\large{ \lim_{n\to\infty} \sqrt[2n]{ \sum_{i=0}^n \frac{ (2n)!}{ (i!)^2 ((n-i)!)^2} } = \ ? }$

1 solution

Satyajit Mohanty
Jul 11, 2015

And then it follows to the problem $\large \lim_{n \rightarrow \infty} { 2n \choose n } ^ { 1 / n } = \ ?$

Check this problem by @Calvin Lin : Inspired by Ravi Dwivedi , for its solution.

And our answer then turns out to be $\fbox 4$ .

I was waiting for the solution!

Aditya Kumar - 5 years, 9 months ago

I had added the solution since July 11.

Satyajit Mohanty - 5 years, 9 months ago