# Limit with factorial

1. May 21, 2008

### joghurt

Please can anybody help me find this limit?

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2. May 21, 2008

### HallsofIvy

Staff Emeritus
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.?

3. May 21, 2008

### aobaid

I studied the limit but not this type

this question is older than me :)

Last edited: May 21, 2008
4. May 22, 2008

### 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 $$\lim_{n\to \infty} n^{\frac{1}{n}}$$?

5. May 22, 2008

### joghurt

Gib Z: Tanks a lot.