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本科毕业论文
题目：二重极限的计算方法
摘要
函数极限是高等数学中非常重要的内容。关于一元函数的极限及求法，各种高等数学教材中都有详细的例题和说明。二元函数极限是在一元函数极限的根底上开展起来的，二者之间既有联系又有区别。本文在二元函数定义根底上通过求对数，变量代换等方式总结了解决二重极限问题的几种方法，并给出相关例题及解题步骤，及二重极限不存在的几种证明方法。
关键词：二重极限变量代换等不存在的证明二元函数连续性
Abstract
The limit function is a very important contents of advanced mathematics. The limit of a function and method, all kinds of advanced mathematics textbooks are detailed examples and explanation. The limit function of two variables is the basis for the development in the limit of one variable function on it, there are both connections and differences in the two yuan on the basis of the definition of the logarithm function between the two, variable substitution, summarizes several methods to solve the problem of double limit, and gives some examples and solving steps. Several proof method and double limit does not exist.
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keywords: Double limit variable substitution, etc. There is no proof Dual function of continuity
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目录
序言………………………………………………………………………1
1二重极限的计算方法小结………………………………………2
利用特殊路径猜得极限值再加以确定…………………… 2
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等价无穷小代换………………………………………………4
利用无穷小量与有界函数的积仍为无穷小量………………4
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变量代换将二重极限化为一元函数中的极限…………5
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用多元函数收敛判别的方法…………………………………6
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( 或叫抓大头的方法)…………………………8
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