Friday, 23 September 2016

elementary set theory - Bijection between [0,1] and [0,1]times[0,1]

I know that |R|=|R×R|, and that |[0,1]|=|R|, which suggests that |[0,1]|=|[0,1]×[0,1]| but I would like to know a bijection between the interval and square.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...