# How to evaluate this limit ?

#### idontknow

$$\displaystyle L=\lim_{n\rightarrow \infty } \underbrace{\sqrt{2\sqrt{3...\sqrt{n}}}}_{n}\; \; , n\in \mathbb{N}$$.
Method required.

#### skipjack

Forum Staff
It's the square of Somos's Quadratic Recurrence Constant.