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. You might see other circumstances where the function isn't even defined there, so that isn't even there, and so once again, the limit might exist, but the function might not be defined there, so in either case, you aren't going to meet this criteria for continuity, and so that's how a point or removable discontinuity, why it is discontinuous, with regards to our limit definition of continuity. So now let's look at this second example. If we looked at our intuitive continuity test, if we were just trying to trace this thing, we see that once we get to x equals two, I have to pick up my pencil to keep tracing it, and so that's a pretty good sign that we are discontinuous.