Journal of Jishou University(Natural Sciences Edition)

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Characterization of Convergence of a Class of Series with Positive Terms and Its Applications

XU Shaoyuan   

  1. (School of Mathematics and Statistics,Hanshan Normal College,Chaozhou 521041,Guangdong China)
  • Online:2018-05-25 Published:2018-06-27

Abstract:

We prove the characterization of the convergence of a class of series with positive terms can be conducted by the convergence of a relevant monotone positive sequence.Based on some  questions in the preliminary contest of National College Student Mathematics Competitions and some questions in the  "mathematical analysis" of the graduate entrance examination,some examples are provided to illustrate the applications of the results in solving the problems of series convergence.

Key words: series with positive terms, sequence of numbers, convergence

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