- #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