If a function f(x) is proportional to lnx, then we know
f(xy)=f(x)+f(y).
My question is, is the converse true? If we know that, for an unknown function f,
f(xy)=f(x)+f(y),
can we conclude that the function must be proportional to lnx? Why?
If a function f(x) is proportional to lnx, then we know
f(xy)=f(x)+f(y).
My question is, is the converse true? If we know that, for an unknown function f,
f(xy)=f(x)+f(y),
can we conclude that the function must be proportional to lnx? Why?
How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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