Suppose the functions $f, g$, and $h$ have the property that for all $x$ in an open interval containing $c$, except possibly at $c$, $ f(x) \leq g(x) \leq h(x) $ If $ \lim _{x \rightarrow c} f(x)=\lim _{x \rightarrow c} h(x)=L $ then $\quad \lim _{x \rightarrow c} g(x)=L$