Taylor's formula and Larange's and Cauchi's residuals

Authors

  • Juan Manuel Garzón Universidad Nacional de Córdoba

Keywords:

Taylor's formula, Lagrange, Cauchi, infinitesimal calculus

Abstract

In the elementary books of Infinitesimal Calculus, Taylor's theorem is proved in a somewhat deficient form, and Lagrange's formula is given as the formula for the remainder almost alone.
The following study aims at arriving at Taylor's formula in such a form for the remainder as to enable us to obtain at will various remainders, including Lagrange's and Cauchy's.

Author Biography

  • Juan Manuel Garzón, Universidad Nacional de Córdoba

    Catedrático en este Colegio Monserrat en los primeros años del s. XX.

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Published

1931-11-01

Issue

Vol. 18 No. 9/10 (1931): November-December

Section

ARTICLES

License

Copyright (c) 1931 Universidad Nacional de Córdoba

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Commercial use of the original work and any derivative works is not permitted, and distribution of derivative works must be made under a license equal to that which governs the original work.

How to Cite

Taylor’s formula and Larange’s and Cauchi’s residuals. (1931). Revista De La Universidad Nacional De Córdoba, 18(9/10), 221-226. https://revistas.unc.edu.ar/index.php/REUNC/article/view/6459