# Continuous Function Proof

1. Mar 6, 2007

### Chris(DE)

1. The problem statement, all variables and given/known data

Prove that if f is continuous at a, then so is |f|

2. Relevant equations

3. The attempt at a solution
I know
lim f = L
x->a

Not sure really where to go from here.

2. Mar 6, 2007

### shwanky

to prove that f is continuous at a, you must prove that $$f(a)$$ is defined, that $$\lim_{x \to a} f(x)$$ exists and that $$\lim_{x \to a} f(x) = f(a)$$.

3. Mar 6, 2007

### Chris(DE)

Thanks I should be ok from here.