Squeeze Theorem
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In calculus, the squeeze theorem (known also as the pinching theorem, the sandwich theorem, the sandwich rule and sometimes the squeeze lemma) is a theorem regarding the limit of a function. The squeeze theorem is a technical result which is very important in proofs in calculus and mathematical analysis. It is typically used to confirm the limit of a function via comparison with two other functions whose limits are known or easily computed. It was first used geometric...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In calculus, the squeeze theorem (known also as the pinching theorem, the sandwich theorem, the sandwich rule and sometimes the squeeze lemma) is a theorem regarding the limit of a function. The squeeze theorem is a technical result which is very important in proofs in calculus and mathematical analysis. It is typically used to confirm the limit of a function via comparison with two other functions whose limits are known or easily computed. It was first used geometrically by the mathematicians Archimedes and Eudoxus in an effort to compute , and was formulated in modern terms by Gauss. In Italy, Russia and France, the squeeze theorem is also known as the two carabinieri theorem, two militsioner theorem or two gendarmes theorem. The story is that if two police officers are holding a prisoner between them, and both the officers are going to the cells, the prisoner must also be going to the cells.
