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. Now you could also think about a jump discontinuity. You could also think about a jump discontinuity. So let's look at this.