A simpler elementary proof that e is irrational

• F. M. S. Lima ^[1]
  1. [1] Universidade de Brasília

     Universidade de Brasília

     Brasil

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 56, Nº. 3, 2025, págs. 545-547
• Idioma: inglés
• DOI: 10.1080/0020739X.2023.2255868
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• Resumen

  • In this short note I present an elementary proof of irrationality for the number e, the base of the natural logarithm. It is simpler than other known proofs as it does not use comparisons with geometric series, nor Beukers' integrals, and it does not assume that e is a rational number from the beginning.