You might imagine of defining or redefining the function at that point, so it is continuous, so the discontinuity is removable, but then how does this relate to our definition of continuity? Well, let's remind ourselves our definition of continuity. We say f is continuous, continuous, if and only if, or let me write f continuous at x equals c, if and only if the limit as x approaches c of f of x is equal to the actual value of the function when x is equal to c. So why does this one fail? Well, the two-sided limit actually exists. You could find, if we say c in this case is three, the limit as x approaches three of f of x, it looks like, if you graphically inspect this, and I actually know this is the graph of y equals x squared except at that discontinuity right over there, this is equal to nine, but the issue is is the way this graph has been depicted, this is not the same thing as the value of the function. This function, f of three, the way it's been graphed, f of three is equal to four. So this is a situation where this two-sided limit exists, but it's not equal to the value of that function.