Squeeze theorem

English

Pronunciation

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Proper noun

1. Template:SenseidTemplate:Lb A theorem used to confirm the limit of a function via comparison with two other functions whose limits are known or easily computed. Supposing that

$g(x)\le f(x)\le h(x)$

and also that

$\underset{x\to a}{\lim }g(x)=\underset{x\to a}{\lim }h(x)=L.$

then

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

Synonyms

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