摘要
重要极限:limx→∞(1+1/n)^n=e的研究对极限的计算与教学至关重要.此类极限可归结为“1^∞”型不定式极限.为此将利用等价无穷小替换的方法对这一类型极限的计算进行详细讨论,得到计算这一类型极限简便快捷的方法.
The study of the important limit of limx→∞(1+1/n)^n=e e is essential for limit calculation and teaching. This type of important limits can be classified as 1^∞ - type limit. Some good resucts to calculate this type limit were given by using equivalent infinitesimal.
作者
黄优良
HUANG You-liang (Mathematical Department, Shaoguan University, Shaoguan, Guangdong 512005, China)
出处
《株洲师范高等专科学校学报》
2007年第2期38-39,共2页
Journal of Zhuzhou Teachers College
关键词
高等数学
“1^∞”型极限
等价无穷小
higher mathematics, 1^∞ - type limit equivalent infinitesimal