Friday, 11 September 2015

calculus - If a function such that f(x+y)=f(x)+f(y) is continuous at 0, then it is continuous on mathbbR

Let f:RR be a function such that f(x+y)=f(x)+f(y). If f is continuous at zero how can I prove that is continuous in R.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...