I am studying topology, and trying to get some intuition for why the typical open set formulation (closed under arbitrary union, finite intersection) was selected as the definition.
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}...
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