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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

A SUM OF AN ALTERNATING SERIES INVOLVING CENTRAL BINOMIAL NUMBERS AND ITS THREE PROOFS

A sum of an alternating series involving central binomial numbers and its three proofs

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2022, v.29 no.1, pp.31-35
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.31
Li, Yue-Wu (School of Mathematics and Statistics, Hulunbuir University)
Qi, Feng (School of Mathematical Sciences, Tiangong University)

Abstract

In the note, by virtue of Abel's theorem and Abel's limit theorem in the theory of power series, the author provides three proofs for a sum of an alternating series involving central binomial numbers.

keywords
Abel's theorem, Abel's limit theorem, sum, alternating series, central binomial number, arcsine, series expansion, binomial expansion, proof

한국수학교육학회지시리즈B:순수및응용수학