Now let me give you another example. Let's say we wanted to figure out the limit as x approaches two of f of g of x. Pause this video, and we'll first see if this theorem even applies. Well, we first wanna see what is the limit as x approaches two of g of x. When we look at approaching two from the left, it looks like g is approaching negative two. When we approach x equals two from the right, it looks like g is approaching zero. So our right and left-hand limits are not the same here, so this thing does not exist.