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\[\lim_{n \rightarrow \infty} (\frac{ n! }{ n^n } )^{1/n}\]
@hartnn @ganeshie8 @Callisto
well do you realize that 1/infinity is 0
and what is any number raised to the power 0
I hope you will be able to figure out the sum now
have you ever heard of Stirling's approximation? http://en.wikipedia.org/wiki/Stirling's_approximation
if you use that correctly, you should get 1/e
I thought it must be 1........but I may be wrong.........I shall make a check