So when x is equal to two, it does not look like f is continuous. So we do not meet this second condition right over here. So we can't just directly apply this theorem. But just because you can't apply the theorem does not mean that the limit doesn't necessarily exist. For example, in this situation, the limit actually does exist. One way to think about it, when x approaches zero from the left, it looks like g is approaching two from above. And so that's going to be the input into f. And so if we are now approaching two from above, here's the input into f, it looks like our function is approaching zero.