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squeeze theorem

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Also known as pinching theorem, sandwich theorem, sandwich rule, squeeze lemma

calculus theorem that the limit of a function trapped between two other functions with the same limit 𝐿 is also 𝐿

Wikidata facts

Instance of
theorem
Named after
sandwich
Image
Sandwich lemma.svg
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maintained by WikiProject
WikiProject Mathematics
Commons category
Squeeze theorem
studied by
calculus
Sources (2)

via Wikidata · CC0

~10 min read

Encyclopedic overview

Illustration of the squeeze theorem 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) is a theorem regarding the limit of a function that is bounded between two other functions.

Excerpted from Wikipedia’s “squeeze theorem” article, available under the CC BY-SA 4.0 licence.