It was on a previous year's test. I can solve it
$\displaystyle
\lim_{n\to\infty} \frac{\sqrt[n]{n!}}{n}\
$
the answer, as I was told is
$\displaystyle
\frac{1}{e}
$
I have tried every technique in my brain.. no clue..
It was on a previous year's test. I can solve it
$\displaystyle
\lim_{n\to\infty} \frac{\sqrt[n]{n!}}{n}\
$
the answer, as I was told is
$\displaystyle
\frac{1}{e}
$
I have tried every technique in my brain.. no clue..
You may use Stirling's approximation
Stirling's approximation - Wikipedia, the free encyclopedia