Question

\[\lim_{n \rightarrow \infty} (\frac{ n! }{ n^n } )^{1/n}\]

Answer 1

@hartnn @ganeshie8 @Callisto

Answer 2

@experimentX

Answer 3

@aaronq

Answer 4

well do you realize that 1/infinity is 0

Answer 5

and what is any number raised to the power 0

Answer 6

I hope you will be able to figure out the sum now

Answer 7

have you ever heard of Stirling's approximation?
http://en.wikipedia.org/wiki/Stirling's_approximation

Answer 8

if you use that correctly, you should get 1/e

Answer 9

I thought it must be 1........but I may be wrong.........I shall make a check