How Do You Calculate the Limit of a Factorial?

[joghurt]

Please can anybody help me find this limit?

 

[HallsofIvy]

It's hard to believe you are serious. Have you done anything on this yourself? Have you tried, for example, calculating values for, say, x= 10, 1000, etc.?

 

[aobaid]

I studied the limit but not this type

this question is older than me :)

 

[Gib Z]

Just a few things that should have made this limit quite obvious -

$$n! < n^n, n > 2$$

$$n^2 > n$$

Perhaps you have seen how to evaluate the common $$\lim_{n\to \infty} n^{\frac{1}{n}}$$?

 

[joghurt]

Gib Z: Tanks a lot.