# Thread: limits problem

1. ## limits problem

hello, I wish someone can help me with that:

..........................n
...................n! * 5
.lim{n>... }_______
......................n
.....................n

i wish u understand what I mean because it is not so easy to whrite it in the computer.
don't care about the "....."

2. Originally Posted by avazim
hello, I wish someone can help me with that:

..........................n
...................n! * 5
.lim{n>... }_______
......................n
.....................n

i wish u understand what I mean because it is not so easy to whrite it in the computer.
don't care about the "....."
Sorry but this is unreadable to me.

3. Originally Posted by avazim
i wish u understand what I mean because it is not so easy to whrite it in the computer.
I too wish you could learn to use LeTeX.
Is this your question $\displaystyle \lim _{n \to \infty } \frac{{\left( {n!} \right)\left( {5^n } \right)}}{{n^n }}$?
If not try to explain where I got it wrong.
If you use the "quote" buttom you will see the LaTeX code.

4. Originally Posted by Plato
I too wish you could learn to use LeTeX.
Is this your question $\displaystyle \lim _{n \to \infty } \frac{{\left( {n!} \right)\left( {5^n } \right)}}{{n^n }}$?
If not try to explain where I got it wrong.
If you use the "quote" buttom you will see the LaTeX code.

yes - this is what I mean !

5. Originally Posted by avazim
yes - this is what I mean !
I'd use Stirlings approximation. Read: Stirling's approximation - Wikipedia, the free encyclopedia

The finer details are left for you to worry about.