This statement is true for any x that's within delta of c. The difference between the two is going to be less than delta. So that if you pick an x that is in this range between c minus delta and c plus delta, and these are the x's that satisfy that right over here, then the distance between your f of x and your limit, and this is just the distance between the f of x and the limit, it's going to be less than epsilon. So all this is saying is if the limit truly does exist, it truly is L, is if you give me any positive number epsilon, it could be a super, super small one, we can find a delta. So we can define a range around c so that if we take any x value that is within delta of c, that's all this statement is saying, that the distance between x and c is less than delta. So it's within delta c. So that's these points right over here. That f of those x's, the function evaluated at those x's is going to be within the range that you are specifying. It's going to be within epsilon of our limit.