Wednesday 30 August 2017

real analysis - Is there a bijective map from the open interval $(0,1)$ to $mathbb{R}^2$?

I couldn't find a bijective map from the open interval $(0,1)$ to $\mathbb{R}^2$. Is there any example?

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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}...