Viète's formula and an error bound without Taylor's Theorem

• Chris Boucher ^[1]
  1. [1] Salem State University

     Salem State University

     City of Salem, Estados Unidos

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 49, Nº. 3, 2018, págs. 455-458
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • This note presents a derivation of Viète's classic product approximation of p that relies on only the Pythagorean Theorem. We also give a simple error bound for the approximation that, while not optimal, still reveals the exponential convergence of the approximation and whose derivation does not require Taylor's Theorem.