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. This right over here is the limit as x approaches C of f of x, which is different than f of C. So this definition of continuity seems to be good at least for this case, because this is not a continuous function. You have a point discontinuity. So for at least in this case, this definition of continuity would properly identify this as not a continuous function.