And since this is the case that they're not equal, the limit does not exist. The limit as x approaches two in general of f of x, or the limit of f of x as x approaches two does not exist. In order for it to have existed, these two things would have had to been equal to each other. For example, if someone were to say, what is the limit of f of x as x approaches four, well, then we could think about the two one-sided limits, the one-sided limit from below and the one-sided limit from above. So we could say, well, let's see. The limit of f of x as x approaches four from below. So let me draw that.