MATH 1010U Lecture Notes - Lecture 5: Trigonometric Functions, Transcendentals, Ampere
Document Summary
Precise definition of a limit (section 2. 4) cont . Recall: last day, we discussed the concept of finding the limit determining how close you"d need to be to sufficiently close to xf. L ax in order to ensure that you could be xf. Suppose we want to be within 0. 1 away from the value of the limit how close should we get to. Formally, we want to find a small number, which we"ll call , so that. Now suppose we want to be within 0. 01 of the limit how close must we be to. Now, we could keep playing this game, requiring the point is for us to be able to do it for any small distance away, say . 1 x to be even closer to the limit, but. Definition: let f be a function defined on some open interval that contains the number a , except possibly at a itself.
