无穷乘积的敛散性  

Convergence and divergence of infinite product

作　　者：朱立 ZHU Li(School of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance,Shanghai 201209,China)

机构地区：[1]上海立信会计金融学院统计与数学学院,上海201209

出　　处：《高师理科学刊》2022年第4期6-8,共3页Journal of Science of Teachers＇College and University

摘　　要：对无穷乘积的敛散性进行了研究.给出了无穷乘积与相应的无穷级数之间敛散性的关系,并以此得到了无穷乘积敛散性的判别法.The convergence and divergence of infinite product was studied.The relation of convergence and divergence between the infinite product and the infinite series was given,and the criterion of convergence and divergence of infinite product was obtained.

关 键 词：无穷乘积 无穷级数 收敛 

分 类 号：O173[理学—数学]