(adsbygoogle = window.adsbygoogle || []).push({}); 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|/|x^{2/3}+ (cx)^{1/3}+ c^{2/3}|]<ε

I'm having trouble coming up with a lower bound for the denominator. Any help?

Thanks in advance!

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# Homework Help: Proving x^(1/3) is continuous.

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