Let Q+ be the set of positive rational numbers.
Find all solutions f:Q+→R of the functional equation
f(xy)=f(x)f(y),x,y∈Q.
Is f(x)=xa the only solution?
If not, is it true if we assume that f is continuous?
How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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