摘要
为求解以方程根为项的数列极限,本文通过引入三个指标给出问题的清晰描述,进一步提出利用产生根的方程和放缩法去解决此类问题的三步法.实例显示该方法能有效解决此类问题.
For limit of a sequence consisting of the roots of equations,this paper presents a clear description by introducing three indexes.A three-step method is proposed to find the limit by using the given equation and the method of enlarging and reducing.Examples are given to show the effectiveness of our method.
作者
陈虎
陶冬亚
CHEN Hu;TAO Dongya(School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 221116,China)
出处
《高等数学研究》
2022年第5期10-13,18,共5页
Studies in College Mathematics
基金
江苏师范大学课程思政教学研究课题(XYKCSZ04,22XYKCSZ04).
关键词
数列
收敛性
单调有界收敛定理
零点定理
sequence
convergence
monotone convergence theorem
existence theorem of zeros
