一个典型数列极限求法的教学探索  

Exploration on the Teaching Method of the Limit of a Typical Series

作　　者：杨雄[1] YANG Xiong(Loudi Vocational and Technical College, Loudi Hunan 417000)

机构地区：[1]娄底职业技术学院,湖南娄底417000

出　　处：《宁夏师范学院学报》2018年第4期96-100,共5页Journal of Ningxia Normal University

摘　　要：利用二项式定理、夹逼定理、Stolz公式、洛必达法则及因式分解等方法对一典型数列极限进行证明,可深入理解极限的内涵、拓宽求解极限的思路和掌握极限的思想,进而在解决极限问题时,能选择适当的方法,迅速求解数列的极限.By using the binomial theorem,Stolz theorem,clamping force formula,and L＇Hospital Rule factorization method for a typical sequence limit,we can deeply understand the connotation of limit,broaden the way to solve the limit and grasp the thought of limit.And then,we can choose appropriate methods to solve the limit of series quickly.

关 键 词：夹逼准则 Stolz公式 L'Hospital法则 收敛半径 

分 类 号：O171[理学—数学]