Hi there,

The following is a suggested exercise I'm doing for my Analysis class.

Prove $\displaystyle f:x \rightarrow x^2$

Here's what I have, but it's straight from my class notes. I'm not sure what to do next.

f is continuous at a if:

$\displaystyle

\forall \epsilon > 0 \quad \exists \delta > 0 \medspace s.t.

$

$\displaystyle

\forall x \in A, \quad ||x-a||<\delta \implies ||f(x) - f(a)||< \epsilon

$

Any ideas?