squeeze theorem

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squeeze theorem

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Proper noun

squeeze theorem

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

Synonyms

• pinching theorem
• sandwich theorem

Translations

theorem in analysis

Bulgarian: лема за двамата полицаи 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