Saturday 25 January 2014

elementary set theory - How to Prove $mathbb Rtimes mathbb R sim mathbb R$?

How to prove $\mathbb R\times \mathbb R \sim \mathbb R$?




I know you have to split the problem up into two claims, for each direction to prove that it is a bijection, but i don't know how to go much further than that...

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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}...