In calculus, the squeeze theorem known also as the pinching theorem, the sandwich theorem, the sandwich rule and sometimes the squeeze lemma is a theorem regarding the limit of a function.

The squeeze theorem is used in calculus and mathematical analysis. It is typically used to confirm the limit of a function via comparison with two other functions whose limits are known or easily computed. It was first used geometrically by the mathematicians Archimedes and Eudoxus in an effort to compute π, and was formulated in modern terms by Gauss.