# Limit with factorial

Please can anybody help me find this limit?

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HallsofIvy
Homework Helper
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.?

I studied the limit but not this type

this question is older than me :)

Last edited:
Gib Z
Homework Helper
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 $$\lim_{n\to \infty} n^{\frac{1}{n}}$$?

Gib Z: Tanks a lot.