Neat Limit

Somewhere on Brilliant I saw it demonstrated that

LIM (as n approaches infinity) of {n!/(n^n)} all raised to the (1/n) power = 1/e

I'd be grateful for (i) this derivation and (ii) instructions on how to use Brilliant for math notational purposes..................... so that I can stop expressing myself with such unwieldy garbage as "LIM (as n approaches infinity) of {n!/(n^n)} all raised to the (1/n) power = 1/e"

Thank you,

Lew Pringle