Let f, g, and h be functions from D into ℝ, and let c be an accumulation point of D. Suppose that f(x) ≤ g(x) ≤ h(x), for all x ∈ D with x ≠ c, and suppose limx→c f(x) = limx→c h(x) = L . Prove that limx→c g(x) = L.
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