Mathematics - Limits Question with Solution | TestHub

For each positive integer$n$, let$y_n={\frac{1}{n}\left((n+1)(n+2)\mathrm{...}(n+n)\right)}^{\frac{1}{n}}$. If$\underset{n\to \infty }{\lim }{y}_n=L,$then the value of$\left[L\right]$(where$\left[x\right]$is the greatest integer less than or equal to$x$) is ____