Thread: Continuity Problem

I don't know how to do this question;

Define the function f: R -> R by

f(x)= { x^2 x>= 0
{ 0 x < 0

Prove that f is continous.

Originally Posted by Sterwine

I don't know how to do this question;

Define the function f: R -> R by

f(x)= { x^2 x>= 0
{ 0 x < 0

Prove that f is continous.

1. show that is defined.

2. show that exists by comparing the one-sided limits from the left and the right of x = 0.

3. show that