| 几类未定式的k阶无穷小替换 |
| |
| 引用本文： | 顾艳红,罗宝华,张桂芳.几类未定式的k阶无穷小替换[J].北京教育学院学报(自然科学版),2014(2):1-6. |
| |
| 作者姓名： | 顾艳红 罗宝华 张桂芳 |
| |
| 作者单位： | 北京林业大学理学院数学系,北京100083 |
| |
| 基金项目： | 中央高校基本科研业务费专项资金资助YX2013-32;北京林业大学“近世代数”课程建设项目. |
| |
| 摘 要： | 应用极限的运算法则及等价无穷小替换定理,对几类幂指型及有关的未定式,把其中的无穷小用其k阶无穷小替换后,得到了未定式极限的变化规律,最后应用所得结论解决了几个未定式求极限问题.
|
| 关 键 词： | 未定式 极限 k阶无穷小 |
The Replacement with k -order Infinitesimal in Several Kinds of Indeterminate Form |
| |
| Gu Yan hong,Luo Bao hua,Zhang Gui fang.The Replacement with k -order Infinitesimal in Several Kinds of Indeterminate Form[J].Journal of Beijing Institute of Education,2014(2):1-6. |
| |
| Authors: | Gu Yan hong Luo Bao hua Zhang Gui fang |
| |
| Institution: | ( College of Science, Beijing Forestry University, Beijing 100083, China) |
| |
| Abstract: | Utilizing the algorithm of limit and the replacement theorem of equivalent infinitesimal, the limit on several kinds of indeterminate form is studied. The variation regularities of limit are obtained when the infinitesima of several kinds of indeterminate form is replaced by its k - order infinitesimal. Finally, sev- eral examples are solved with the acquired conclusion. |
| |
| Keywords: | indeterminate form limit k - order infinitesimal |
| 本文献已被 CNKI 维普 等数据库收录！ |
