lim
I can understand that this will go to infinity because the numerator grows faster.
I am trying to apply L'Hôpital's rule to this; however, have not been able to figure out how to take the derivative of \left(n-1\right)!
So how does one take the derivative of a factorial?
Answer
you could introduce the gamma function!
Just a joke, as n!>n^3 for n>100 you know that
\frac{n!}{n^2} > \frac{n^3}{n^2}=n
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