Literally have no idea how to even start this question:
Prove that if f is continuous at $\displaystyle x_0$, then |f| is continuous at $\displaystyle x_0$.
Can someone give me a hint so I can start? Cheers.
Use:
$\displaystyle \left|\;|f(x)|-|f(a)|\;\right|\leq |f(x)-f(a)|<\epsilon$
Fernando Revilla