| 高职高专高等数学课程中求极限方法探索 |
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| 引用本文： | 郑晓珍.高职高专高等数学课程中求极限方法探索[J].襄樊职业技术学院学报,2010,9(4):112-114. |
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| 作者姓名： | 郑晓珍 |
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| 作者单位： | 襄樊职业技术学院,公共课部,湖北,襄樊,441021 |
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| 摘 要： | 求极限是高等数学中一种最基本、最重要的运算。针对高职高专高等数学的教学原则，本文给出了高职高专高等数学中求极限运算所适用的七种方法：使用初等函数的连续性；使用函数极限的定义；使用函数极限的四则运算法则；使用无穷小的性质：有界函数与无穷小的乘积为无穷小；使用无穷小与无穷大的关系：在自变量的同一变化过程中，无穷小的倒数是无穷大，无穷大的倒数是无穷小；使用两个重要极限；使用洛必达法则。
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| 关 键 词： | 高职高专 高等数学 极限运算 |
On the Ways to Explore the Limit in Higher Mathematics |
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| ZHENG Xiao-zhen.On the Ways to Explore the Limit in Higher Mathematics[J].Journal of Xiangfan Vocational and Technical College,2010,9(4):112-114. |
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| Authors: | ZHENG Xiao-zhen |
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| Institution: | ZHENG Xiao-zhen (Department of Public Course, Xiangfan Vocational and Technical College, Xiangfan Hubei 441021, China) |
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| Abstract: | The limit theory plays an important role in Higher Mathematics,it is most basic and important operation. This paper presented seven ways to explore limit in Higher mathematics： Use the continuity of elementary functions; Use the limit definition of the function; the use of the function of the four algorithms limit; The use of infinitely small in nature： a bounded function with the product of infinitesimal infinitesimal; The use of infinitely small and infinitely large relationship： the same variables in the process of change, the infinitesimal countdown is infinite, the reciprocal of infinity is infinitely small; The use of two important limits; The use of L＇H pital＇s rule. |
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| Keywords: | vocational colleges higher mathematics limit operations |
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