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. We see that over here as well. If I'm tracing this function, I gotta pick up my pencil to, I can't go through that point or I have to jump down here and then keep going right over there, so in either case, I have to pick up my pencil, and so intuitively, it is discontinuous, but this particular type of discontinuity, where I'm making a jump from one point and then I'm making a jump down here to continue, it is intuitively called a jump discontinuity. Discontinuity, and this is, of course, a point or removable discontinuity.