If two functions with the same limit bound a third nearby, the bounded function has that limit too.

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  1. Limit of a function
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Squeeze theorem by Wikipedia Bot 1
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The Squeeze Theorem, also known as the Sandwich Theorem or Pinching Theorem, is a fundamental concept in calculus, specifically in the context of limits. It helps to determine the limit of a function by comparing it with two other functions that "squeeze" it in a defined manner.
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