Originally Posted by

**tbyou87** Here is the theorem i'm supposed to use to prove the continuity of the function f(x) = x^3.

Let f be a real-valued function whose domain is a subset of R. Then f is continuous at x0 element dom(f) iff for every epsilon > 0 there exists delta > 0 s. t. x element dom(f) and |x - x0| < delta => |f(x)-f(x0)| < epsilon.

So I don't know how to get delta. I'm pretty sure you are supposed to use the triangle inequality somewhere, and you need to work backwards but i'm just a bit confused.

Thanks