1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Delta Epsilon Limit Proof

  1. Nov 4, 2011 #1
    1. The problem statement, all variables and given/known data

    Prove, using the formal definition of limits:

    If lim (x->inf) g(x) = inf and g(x) leq f(x) for x->a, then lim (x->a) f(x)=inf.

    leq = less than or equal to.

    2. Relevant equations

    3. The attempt at a solution

    Honestly, I'm not even sure where to start on this one. Anyone bored enough to show how they would solve it?
  2. jcsd
  3. Nov 5, 2011 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Start with the δ-ε definition of a limit.

    Show some work so we can help you. That's a rule for this Forum.

    BTW: Don't you mean lim (x → a) g(x) = ∞ , NOT lim (x → ∞) ?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Delta Epsilon Limit Proof