The Squeeze Theorem

The Squeeze Theorem is an essential concept in calculus, facilitating the evaluation of limits especially when direct substitution results in an indeterminate form. The theorem is articulated as follows:

If \( f(x) \leq g(x) \leq h(x) \) for all \( x \) near \( a \) (except possibly at \( a \)), and \( \lim_{{x \to a}} f(x) = \lim_{{x \to a}} h(x) = L \), then \( \lim_{{x \to a}} g(x) = L \).

Practice using the Squeeze Theorem with the problems on this worksheet. Verify bounds and compute limits to enhance your understanding of this powerful tool.