If someone gives you the epsilon, let's say they want to be within 0.5 of our limit. Our limit is up here, so our epsilon is 0.5, so it would literally be the range I want to be between 10 plus epsilon would be 10.5, and then 10 minus epsilon would be 9.5. Well, we just came up with a formula. We just have to make delta equal to epsilon over 2, which is equal to 0.25, so that'll give us a range between 4.75 and 5.25. As long as we pick an x between 4.75 and 5.25, then the corresponding f of x, but not x equals 5, the corresponding f of x will be between 9.5 and 10.5. You give me any epsilon, I can just apply this formula right over here to come up with the delta. This would apply for any real number, especially any positive number.