Thursday 11 December 2014

sequences and series - Sum containing primes

Can anybody compute the value of $$\sum_p\sum_{k=2}^\infty\frac{\log(p^k)}{k}-\sum_p\sum_{k=2}^\infty\frac{\sum\limits_{p^n

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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}...