Saturday, July 8, 2017

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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analysis - Injection, making bijection

I have injection f:AB and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...