英语词汇“Squeeze theorem”是什么意思，翻译、用法及简单造句-英汉双解词典-英汉网

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单词	Squeeze theorem
释义	Squeeze theorem 中文百科夹挤定理夹挤定理，又称三明治定理，是有关函数极限的定理。它指出若有两个函数在某点的极限相同，且有第三个函数的值在这两个函数之间，则第三个函数在该点的极限也相同。设 $I$ 为包含某点 $a$ 的区间， $f,g,h$ 为定义在 $I$ 上的函数。若对于所有属于 $I$ 而不等于 $a$ 的 $x$ ，有： $g(x) \leq f(x) \leq h(x)$ ； $\lim_{x \to a} g(x) = \lim_{x \to a} h(x) = L.$ ；则 $\lim_{x \to a} f(x) = L$ 。 $g(x)$ 和 $h(x)$ 分别称为 $f(x)$ 的下界和上界。 $a$ 若在 $I$ 的端点，上面的极限是左极限或右极限。对于 $x \to \infty$ ，这个定理还是可用的。英语百科 Squeeze theorem 夹挤定理 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 used 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 $π$ , and was formulated in modern terms by Gauss.
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