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**Tclack** So I'm supposed to prove that

$\displaystyle lim_n_\rightharpoonup_\infty$$\displaystyle \frac{\sqrt[n]{n!}}{n} $

And I'm doing so by using the squeezing theorem (with guided help from the book)

I know for certain that

$\displaystyle \frac{1}{e^(1-\frac{1}{n})} < \frac{\sqrt[n]{n!}}{n} < \frac{(1+\frac{1}{n})(n+1)^\frac{1}{n}}{e} $

(btw the left is 1 over e to the power of all that stuff, Latex is making it look weird)

This is correct. My book confirmed so. And I can see how the left side of the equation approaches 1/e. Somehow the right side does and I can't see how....anybody?