The squeeze (or sandwich) theorem states that if f(x)≤g(x)≤h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them. We can use the theorem to find tricky limits like sin(x)/x at x=0, by "squeezing" sin(x)/x between two nicer functions and using them to find the limit at x=0. read more

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In calculus, the squeeze theorem, also known 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 used in calculus and mathematical analysis. read more

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The Squeeze Theorem is sometimes called the Sandwich Theorem or the Pinch Theorem. Graphical Example In the graph below, the lower and upper functions have the same limit value at $$x = a$$. read more

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How to use the squeeze theorem

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Limits Using the Squeeze Principle

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Squeeze theorem intro (old) (video)

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Squeeze theorem intro (video)

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Any jerk can have short-term earnings. You squeeze, squeeze, squeeze, and the company sinks five years later.Source: quotemaster.org