If $x>0,y>0$ and if $f(xy)=f(x)f(y)$, then $f=\, ?$
I tried the problem. And got it as $f(x)^n=f(x^n)$.But answer is $f(x)=x^n$. How?$f$ is a continuous function.
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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