It's factorial and limit

Calculus Level pending

lim n ( n ! ) 1 / n n = ? \large \lim_{n\to\infty} \dfrac{(n!)^{1/n}}n = \, ?

Notation :
! ! denotes the factorial notation. For example, 8 ! = 1 × 2 × 3 × × 8 8! = 1\times2\times3\times\cdots\times8 .

1 e 2 \frac1{e^2} 1 e \frac1e 1 1 e e

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Directly apply Stirling's Approximation to get the answer

Rohan Shah
Apr 2, 2016

just 1/n = 0.....but calculus solution needed..please

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...