- #1
cesc
- 9
- 0
Homework Statement
f is a function that satisfies
f(x+y)=f(x)+f(y) and f is continuous at 0.
prove f is continuous everywhere
Homework Equations
The Attempt at a Solution
its easy to see that f(0)=0
My hunch is that the only soln f= cx, and f=0;
but otherwise can't make much headway