A new look at the convergence of a famous sequence

• Autores: Mihaela Dobresco
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 41, Nº. 8, 2010, págs. 1079-1085
• Idioma: inglés
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• Resumen

  • A new proof for the monotonicity of the sequence [image omitted] is given as a special case of a large family of monotomic and bounded, hence convergent sequences. The new proof is based on basic calculus results rather than induction, which makes it accessible to a larger audience including business and life sciences students and faculty. The slow rate of convergence of the two sequences is also discussed, and convergence bounds are found.