So if you have a function, so let's actually look at some cases where you're not continuous. And that actually might make it a little bit more clear. So if you had a point discontinuity at x equals C, so this is x equals C. So if you had a point discontinuity, so let me draw it like this actually. So you have a gap here, and x equals, when x equals C, f of C is actually way up here. So this is f of C, and then the function continues like this. The limit as x approaches C of f of x is going to be this value, which is clearly different than f of C, this value right over here. If you take the limit, if you take the limit as x approaches C of f of x, you're approaching this value.