Prove the following comparison theorems for real functions f and g, and a ∈ R.
a) If f (x) ≥ g(x) and g(x)→∞as x → a, then f (x)→∞as x → a.
b) If f (x) ≤ g(x) ≤ h(x) and
then g(x) → L as x →∞.
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