# Continuity Proof

• October 2nd 2010, 04:35 PM
shannu82
Continuity Proof
Prove that f(x) = x^(1/3) is continuous at x = c for c>0.

Not sure how to even start... Any help would be appreciated.
• October 2nd 2010, 06:05 PM
bondesan
shannu82,

A function is continuous at a point $x=c$ if it satisfies two conditions:

1 - $f(c)$ exists, and

2 - $\lim_{x\to c} f(x) = f(c)$.

The proof is just a matter of verifying this conditions. I hope it helps.