squeeze theorem

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English

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squeeze theorem

Pronunciation

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Proper noun

squeeze theorem

(calculus) 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 $g(x)\leq f(x)\leq h(x)\,$ and also that $\lim _{x\to a}g(x)=\lim _{x\to a}h(x)=L\,$ , then $\lim _{x\to a}f(x)=L$ .

Synonyms

Translations

theorem in analysis

Bulgarian: лема за двамата полицаи (bg) f (lema za dvamata policai)
Catalan: teorema del sandvitx m, teorema d'intercalació m, teorema de l'enclaustrament m, teorema de compressió m
French: théorème du sandwich m, théorème des gendarmes (fr) m, théorème d'encadrement m
Galician: teorema do emparedado m, teorema do sandwich m
Italian: teorema del confronto m, teorema del sandwich m, teorema dei due carabinieri m, teorema di compressione m
Portuguese: teorema do confronto m, teorema do enquadramento m, teorema da sanduíche m, teorema do imprensamento m
Spanish: teorema del emparedado m, teorema del sándwich m, teorema del apretón m

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