Sunday 26 March 2017

number theory - Given any $10$ consecutive positive integers , does there exist one integer which is relatively prime to the product of the rest ?

Given any $10$ consecutive positive integers , does there exist one integer which is relatively prime to the product of the rest ?

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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}...