Problem 314 of 333HardCalculusP314

A factorial ratio under an nth root

Evaluate
$\lim_{n \to \infty} \left(\frac{(2n)!}{n!\, n^n}\right)^{1/n}.$
See the hint and solution with a free account
Every problem on Quant Engine is free, with a hint and a full worked solution. Making an account takes 30 seconds and no card. Then you can see them and track what you have solved.
Create a free account Log in

See the hint and solution with a free account