It's saying, look, if the limit as we approach C from the left and the right of F of X, if that's actually the value of our function there, then we are continuous at that point. So let's look at three examples. Let's look at one example where, by our picking up the pencil idea, it feels like we are continuous at a point, and then let's think about a couple of examples where it doesn't seem like we're continuous at a point, and see how this more rigorous definition applies. So let's say that my function, so let's say this right over here is, Y is equal to F of X, and we care about the behavior right over here when X is equal to C. This is my X axis, that's my Y axis. So we care about the behavior when X is equal to C. And so notice, from our first intuitive sense, I can definitely draw this function as we go through X equals C without picking up my pencil, so it feels continuous there. There's no jumps or discontinuities that we can tell. It just kind of keeps on going.