Recent content by KyleTS

  1. K

    Epsilon delta limits if/then language

    I want to give you a giant hug right now. This made my week.
  2. K

    Epsilon delta limits if/then language

    Thank you, I think I'm starting to have the perspective shift I needed. I came across an article that somewhat touched on what's confusing me. "Perhaps our students would have less trouble trying to understand the Cauchy-Weierstrass definition if we told them in advance that it was not a...
  3. K

    Epsilon delta limits if/then language

    Okay, now bear with me. Insofar as I understand it, in order to say f is continuously defined on an interval we must establish lim x=>x1 f(x) = f(x1) for all x in the interval. However that means, in this example, 0 < |x-10| < ε/3 is true for all real ε>0 because f(x) is continuous over the...
  4. K

    Epsilon delta limits if/then language

    < Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown >[/color] This is from the question list at the UC Davis Website epsilon delta exercise list. In the exercise list we have: Prove that Which concludes with: Thus, if , it follows that...
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