# Math Help - Continuity Question

1. ## Continuity Question

Literally have no idea how to even start this question:
Prove that if f is continuous at $x_0$, then |f| is continuous at $x_0$.

Can someone give me a hint so I can start? Cheers.

2. Use:

$\left|\;|f(x)|-|f(a)|\;\right|\leq |f(x)-f(a)|<\epsilon$

Fernando Revilla