Hi,

I have a problem finding the following limit:

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

I don't know how to get rid of the factorials in the arguments.

Any help appreciated, thanks in advance :)

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- Nov 1st 2012, 09:27 AMOmegaccLimit involving log & factorial
Hi,

I have a problem finding the following limit:

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

I don't know how to get rid of the factorials in the arguments.

Any help appreciated, thanks in advance :) - Nov 1st 2012, 09:41 AMPlatoRe: Limit involving log & factorial
- Nov 1st 2012, 10:13 AMOmegaccRe: Limit involving log & factorial
Thanks, but then I get stuck on $\displaystyle \frac{1}{1+lim_{n\to\infty}\frac{\sum_{k=n^2+1}^{( n+1)^2}log(k)}{\sum_{k=1}^{n^2}log(k)}}$ (Thinking)

- Nov 1st 2012, 08:47 PMSalahuddin559Re: Limit involving log & factorial
Use stirling's approximations, Stirling's approximation - Wikipedia, the free encyclopedia.

Salahuddin

Maths online