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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?