I have the following question:
Show that the function $f(x) = x^2$ is continuous at every $a \in R$ by >using the definition of continuity (i.e., show that for every $\epsilon > 0$ there is a $\delta > 0$ such >that $|f(x) - f(a)| <\epsilon $ whenever $|x-a|< \delta $)
That means that for every $\epsilon > 0$ there is a $\delta > 0$ such that $|x^2-a^2|< \epsilon $ whenever $|x-a|< \delta $. I honestly have no idea how to even start that, so help would be very much appreciated!!