1. The problem statement, all variables and given/known data Prove x^(1/3) is continuous on all of ℝ. 3. The attempt at a solution I've essentially gotten everything to the following point: [|x-c|/|x2/3 + (cx)1/3 + c2/3|]<ε I'm having trouble coming up with a lower bound for the denominator. Any help? Thanks in advance!