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无穷级数求和的理论分析
引用本文:舒苏.无穷级数求和的理论分析[J].高师理科学刊,2012(6):22-25.
作者姓名:舒苏
作者单位:江苏省委党校文化学教研部
摘    要:阐述了级数的Cauchy,Cesaro,Abel3种求和法,并论证了在某种条件下3种方法之间的相互区别与紧密联系,从而加强了学生对求和方法的理解和运用.

关 键 词:无穷级数  Cauchy求和法  Cesaro求和法  Abel求和法

The theoretical analysis about the summation of infinite series
SHU Su.The theoretical analysis about the summation of infinite series[J].Journal of Science of Teachers'College and University,2012(6):22-25.
Authors:SHU Su
Institution:SHU Su(Department of Culture Teaching,Jiangsu Provincial Party Committee Party School,Nanjing 210004,China)
Abstract:Discussed the Cauchy summation, methods' connention and distinction in some summation method for the students. Cesaro summation and Abel summation of series, condition, thus strengthening understanding and proved applying three of the
Keywords:infinite series  Cauchy summation of series  Cesaro summation of series  Abel summation of series
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