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Delta Epsilon Limit Proof

  • Thread starter Jimbo57
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  • #1
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Homework Statement



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.

Homework Equations





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?
 

Answers and Replies

  • #2
SammyS
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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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