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Lithuanian Mathematical Journal

, Volume 48, Issue 4, pp 401–404 | Cite as

On some irrationalities

  • J. J. Mačys
Article
  • 39 Downloads

Abstract

An elementary proof of the irrationality of the number e is well known, while this is not the case with the number π or even, e.g., e7. In this note, simple and quite transparent proofs of the irrationality of the number π and rational degrees of e, as well as some other values of elementary functions, are proposed.

Keywords

irrationality elementary proof Taylor series 

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References

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    J. Mačys, On irrationality of values of trigonometrical functions, Liet. Mat. Rink., 42(spec. issue):405–410, 2002 (in Russian).Google Scholar
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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Institute of Mathematics and InformaticsVilniusLithuania

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