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.
shannu82,
A function is continuous at a point $\displaystyle x=c$ if it satisfies two conditions:
1 - $\displaystyle f(c)$ exists, and
2 - $\displaystyle \lim_{x\to c} f(x) = f(c)$.
The proof is just a matter of verifying this conditions. I hope it helps.