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If $$g(x) \leq f(x) \leq h(x)$$ near $$c$$ and
$$\lim_{x \to c} g(x) = \lim_{x \to c} h(x) = L$$
then $$\lim_{x \to c} f(x) = L$$.
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If $$g(x) \leq f(x) \leq h(x)$$ near $$c$$ and
$$\lim_{x \to c} g(x) = \lim_{x \to c} h(x) = L$$
then $$\lim_{x \to c} f(x) = L$$.
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