| 一类含无穷小和差形式的极限的求法 |
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| 引用本文： | 李红梅.一类含无穷小和差形式的极限的求法[J].达县师范高等专科学校学报,2014(2):19-22. |
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| 作者姓名： | 李红梅 |
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| 作者单位： | 四川文理学院数学与财经学院,四川达州635000 |
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| 摘 要： | 应用等价无穷小代换的思想方法,探讨一类含无穷小和差形式的极限的求法.提出利用函数的Taylor展开式等方法,合理选择无穷小的等价形式,保持无穷小的和差整体的阶不变,可以方便快捷地求得极限.
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| 关 键 词： | 极限 等价代换 无穷小 Taylor |
A Solution to a Limit With the Infinitesimal Sum and Difference |
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| Institution: | LI Hong--mei (Mathematics and Finance--Economics Department of Sichuan Univemity of Arts and Science, Dazhou Sichuan 635000, China) |
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| Abstract: | This paper analyzes the method for solving the class of limit with the infinitesimal sum and difference by the thinking of the replace of equivalent infinitesimal. It proposes how to keep the order of the whole of the infinitesimal sum and difference by using the Taylor expansion and reasonable selection of equivalent infinitesimal. |
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| Keywords: | limit equivalent substitution infinitesimal Taylor |
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