For any range around L that they give you, you have to be able to get f of x within that range by finding a range around c that as long as x is that range around c, f of x is going to sit within that range. I'll let you think about that a little bit. There's a lot to think about. But hopefully this made sense. We did it for the particular example of someone hands you the 0.5. I want f of x within 0.5 of L. And you say, well, as long as x is within 0.25 of c, you're going to match it. You need to be able to do that for any range they give you around L. And then this limit will definitely be true.