Friday, 3 May 2013

calculus - Finding $lim_{n rightarrow infty} frac{log n}{sqrt{n}}$

Compute $$\lim_{n \rightarrow \infty} \frac{\log n}{\sqrt{n}}$$ It seems pretty obvious, but I have tried Stolz-Cesaro and other tricks and I still can't get a solution.

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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

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}...