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