Is there U⊂R2 with Lebesgue measure 0 such that
f(x+y)=f(x)+f(y)for all (x,y)∈U implies f(x+y)=f(x)+f(y) for all (x,y)∈R2 ?
How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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