Editing Squeeze theorem (section)

{{Short description|Method for finding limits in calculus}}
{{more citations needed|date=April 2010}}
{{Redirect|Sandwich theorem|the result in measure theory|Ham sandwich theorem|Sandwich theory (physics)|Sandwich theory}}

[[File:(x^2)sin(x^(-1)).png|thumb|300px|Illustration of the squeeze theorem]]
[[File:Sandwich lemma.svg|thumb|300px|When a sequence lies between two other converging sequences with the same limit, it also converges to this limit.]]

In [[calculus]], the '''squeeze theorem''' (also known as the '''sandwich theorem''', among other names{{efn|Also known as the ''pinching theorem'', the ''sandwich rule'', the ''police theorem'', the ''between theorem'' and sometimes the ''squeeze lemma''.}}) is a [[theorem]] regarding the [[limit of a function|limit]] of a [[Function (mathematics)|function]] that is bounded between two other functions.

The squeeze theorem is used in calculus and [[mathematical analysis]], typically to confirm the limit of a function via comparison with two other functions whose limits are known. It was first used geometrically by the mathematicians [[Archimedes]] and [[Eudoxus of Cnidus|Eudoxus]] in an effort to compute [[pi|{{pi}}]], and was formulated in modern terms by [[Carl Friedrich Gauss]].