What is the following limit equal to and how do I prove it?
$$ \underset{n\to\infty}{\lim} \frac {{n!}^{1/n}}{n}. $$
I've been trying for a while and I can't seem to get it.
How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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