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Homework Help: 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


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    Staff Emeritus
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    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 → ∞) ?
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