Sunday 8 December 2019

real analysis - Bijection f: [0, 1] to (0, 1)?

My solution for this function is let 0 map to 1/2, 1 to 1/3, and then for any other values map them to that value + 1/2. Is this the correct solution for this mapping?

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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}...