Saturday, 23 January 2016

real analysis - Is there a bijection between [0,infty) and (0,1)

I tried tan(x), and log(x), but seems it does not work, so I wonder is there a bijection or not?

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...