## Calculus 8th Edition

If $f(x) \le g(x) \le h(x)$ when x is close to a (except possibly at a) and the limit of the outside functions, $f(x)$ and $h(x)$ at a tend to $C$, then $\lim\limits_{x \to a} g(x) =C$ In English, if the function g is squeezed between $f(x)$ and $h(x)$ near a, and the limits are equal, then g must have the same limit.