Wednesday 11 July 2018

sequences and series - Convergence of $sum_{n=3}^infty frac {1}{n ln n}$

I know I have seen something similar and there is a telescoping trick to the convergence but it is eluding me.

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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}...