## Computing Limits II: The Squeeze Theorem – Limits and Continuity

The Squeeze Theorem Let’s start with a statement of the squeeze theorem. Theorem 1.1  Suppose $$g(x) \le f(x) \le h(x)$$ and this is true for all $$x$$ in a neighbourhood of $$x = a$$ (except perhaps at $$x = a$$). Further, suppose $$\displaystyle \lim_{x \to a} g(x) = \displaystyle \lim_{x \to a} h(x) = L$$. Then … Read moreComputing Limits II: The Squeeze Theorem – Limits and Continuity