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Limite et continuité d'une fonction: Cours approfondi, méthodes de calcul, exercices résolus et pratique progressive
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Publisher: Independently Published
Pages: 308
Weight: 1.58
Height: 0.65 Width: 8.50 Depth: 11.00
Language: French
Limite et continuite d une fonction est un ouvrage consacre a l etude des notions de limite et de continuite.
Le livre presente la limite finie en un point, les limites a gauche et a droite, les limites infinies et les limites en l infini.
Il aborde les operations sur les limites, les theoremes de comparaison, le theoreme des gendarmes et les formes indeterminees. Plusieurs methodes de calcul sont etudiees, notamment la factorisation, l expression conjuguee et le terme de plus haut degre.
L ouvrage presente egalement les limites des fonctions usuelles, notamment les fonctions polynomes, rationnelles, irrationnelles et trigonometriques.
Une partie est consacree a la continuite en un point et sur un intervalle, aux fonctions composees et au prolongement par continuite.
Le livre traite aussi du theoreme des valeurs intermediaires, de la methode de dichotomie, de la continuite et de la monotonie, du theoreme de la bijection, des fonctions reciproques et de la resolution d equations.
Cet ouvrage propose une progression structuree pour etudier les limites et la continuite et pour pratiquer les principales methodes de calcul et de resolution.
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