Math Help - Limit involving log & factorial

1. Limit involving log & factorial

Hi,

I have a problem finding the following limit:

$lim_{n\rightarrow\infty}\frac{|log(n^2!)|}{|log((n +1)^2!)|}$.

I don't know how to get rid of the factorials in the arguments.
Any help appreciated, thanks in advance

2. Re: Limit involving log & factorial

Originally Posted by Omegacc
I have a problem finding the following limit:
$lim_{n\rightarrow\infty}\frac{|log(n^2!)|}{|log((n +1)^2!)|}$.
I don't know how to get rid of the factorials in the arguments.
Hint: $\log \left[ {\left( {3^2 } \right)!} \right] = \sum\limits_{k = 1}^9 {\log (k)}$

3. Re: Limit involving log & factorial

Thanks, but then I get stuck on $\frac{1}{1+lim_{n\to\infty}\frac{\sum_{k=n^2+1}^{( n+1)^2}log(k)}{\sum_{k=1}^{n^2}log(k)}}$