This book follows Volume I of exercises Analysis Corrected. It is intended primarily for students of L1 to L3 levels of universities and students of preparatory classes for schools. It will also be of great benefit for applicants to CAPES and aggregation of mathematics.
It contains nearly 600 problems to help improve and deepen the understanding of continuous functions, differentiable functions and series of functions. These are grouped according to themes and studied properties
. A wide range of exercises Thus, we find the properties of continuous functions, the mean value theorem, Taylor's formulas, the use of derivatives, the entire series ... Each section begins with relatively simple exercises and continues with more difficult problems. All exercises are corrected.
Summery Contents of Problémes d'analyse II
- II.3 Formule de Taylore trègle de L’Hospital
- II.4 Fonctions convexes
- II.5 Applications des dérivées
- II.6 Dérivabilité forte et dérivabilité au sens de Schwarz
- Solutions
- II.1 Dérivéed’unefonctionréelle
- II.2 Théorème de saccrois sements finis
- II.3 FormuledeTayloretrègledeL’Hospital
- II.4 Fonctions convexes
- II.5 Applications des dérivées
- II.6 Dérivabilité forte et dérivabilité au sens de Schwarz
- III Suites et séries de fonctions
- Énoncés
- III.1 Suites de fonctions, convergence uniforme
- III.2 Séries de fonctions, convergence uniforme
- III.3 Séries entières
- III.4 Séries deTaylor
- Solutions
- III.1 Suites de fonctions, convergence uniforme
- III.2 Séries de fonctions, convergence uniforme
- III.3 Séries entières
- III.4 Séries deTaylor
