The example functions in this applet all have something interesting going on at `x = 2`.
You must decide whether or not the function is continuous at `x = 2`. Recall:
The function `f` is continuous at the `x`-value `c` if
- `lim_(x-->c) f(x) = L` where `L` is a real number
(so `L` can't be `oo` or `-oo`), and
- `f(c) = L`.
Informally, we say the function is continuous at a point if the limit exists, the
function value exists, and they are equal to each other.