Lecture
Taylor Polynomials and Remainders
Description
This lecture delves into Taylor polynomials with remainders, starting with the example of 1 / (1 - x) around a = 0. It explores the use of Taylor formulas with remainders, the relationship between different ε functions, and the development of functions like e^x, sin(x), and ln(1+x). The lecture also covers the expansion of (1 + x)^⍺ and the calculation of coefficients. Emphasis is placed on understanding the significance of ε functions and the importance of the development point in these expansions.
In MOOCs (9)
Analyse I
Le contenu de ce cours correspond à celui du cours d'Analyse I, comme il est enseigné pour les étudiantes et les étudiants de l'EPFL pendant leur premier semestre. Chaque chapitre du cours correspond
Analyse I (partie 1) : Prélude, notions de base, les nombres réels
Concepts de base de l'analyse réelle et introduction aux nombres réels.
Analyse I (partie 2) : Introduction aux nombres complexes
Introduction aux nombres complexes
Analyse I (partie 3) : Suites de nombres réels I et II
Suites de nombres réels.
Analyse I (partie 4) : Limite d'une fonction, fonctions continues
Limite d’une fonction et fonctions continues
Official source
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Ontological neighbourhood
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