squeeze theorem

squeeze theorem

1. (mathematics) A theorem used to confirm the limit of a function via comparison with two other functions whose limits are known or easily computed.

The theorem is, supposing that

${\displaystyle g(x)\leq f(x)\leq h(x)\,}$

and also that

${\displaystyle \lim _{x\to a}g(x)=\lim _{x\to a}h(x)=L.\,}$

then

${\displaystyle \lim _{x\to a}f(x)=L.}$

• pinching theorem
• sandwich theorem