摘要
针对涉及递推数列极限的一道考研试题,给出其几何解释,并进行两种一般形式的推广.利用单调有界原理或压缩映射原理可证推广命题成立.
Geometric explanation of the limit of a recursive sequence appeared in an entrance examination for graduate study is presented. Two generalizations of this limit question are given. Our proofs involve the bounded monotonic theory and the contraction mapping theory.
出处
《高等数学研究》
2012年第4期102-103,共2页
Studies in College Mathematics
基金
南京信息工程大学教学改革项目(09JY0016)
关键词
递推数列
数列极限
单调有界原理
压缩映射原理
recursive sequence, limit, bounded monotonic theory
contraction mapping theory
