- #1

strahi

## Homework Statement

f(x+y) = f(x) + f(y) for all x,y∈ℝ if f is continuous at a point a∈ℝ then prove that f is continuous for all b∈ℝ.

## Homework Equations

lim{x->a}f(x) = f(a)

## The Attempt at a Solution

I do not understand how to prove the continuity, does f(x) = f(a) or does f(x+y) = f(a)