Squeeze Theorem

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The Squeeze Play Theorem is a relatively simple theorem that deals with calculus, specifically limits.

Theorem

Suppose $f(x)$ is between $g(x)$ and $h(x)$ for all $x$ in the neighborhood of $S$. If $g$ and $h$ approach some common limit L as $x$ approaches $S$, then $\lim_{x\to S}f(x)=L$.

Proof

This theorem needs to be proved. You can help AoPSWiki by proving it.

See Also