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Indétermination du type oo/oo : cas de la fraction irrationnelle

6ème Commerciale & Gestion - Mathématique

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Indétermination du type oo/oo : cas de la fraction irrationnelle

Domaine	Science	Sous domaine	Mathématiques
Section	Technique	Option	Commerciale & Gestion
Discipline	Mathématique	Classe	6ème
Matériel didactique	Exemples	Auteur	SCHOOLAP.COM
Objectif opérationnel	A l'issue de la leçon, l'élève sera capable de déterminer l'indétermination de la forme oo/oo cas de la fraction irrationnelle à l'aide des principes en 5 minutes.
Réference	Etude d'une fonction 3 éd, pp. 53-54.
Activité initiale
a. Rappel		a. Rappel
b.
b. Motivation Soient f(x) = $\sqrt[]{4x^2+x-3}$ et g(x)=2x-1		b. Motivation $\frac{f(x)}{g(x)}=\frac{\sqrt[]{4x^2+x-3}}{2x-1}$
Sous quelle forme se représente cette fraction ?		Elle se présente sous forme de fraction irrationnelle.
c. Annonce du sujet Qu'allons nous étudier aujourd'hui en math ?		c. Annonce du sujet Aujourd'hui nous allons étudier la limite de l'indétermination de la forme $\frac{Ꝏ}{Ꝏ}$ : cas de fraction irrationnelle.
Activité principale
Quelle est la règle à appliquer si on trouve $\frac{Ꝏ}{Ꝏ}$ pour les fractions irrationnelles ?		INDETERMINATION DE LA FORME $\frac{Ꝏ}{Ꝏ}$ : CAS DE LA FRACTION IRRATIONNELLE Soient f(x) et g(x) des polynômes en x. Prennent la forme indéterminée: $\frac{Ꝏ}{Ꝏ}$ Règles: On calcul séparément les limites pour x tendant vers +Ꝏ et x tendant vers -Ꝏ en ayant à l'esprit que. * pour x tendant vers +Ꝏ, $\sqrt[]{x^2}=IxI=x$ * pour x tendant vers -Ꝏ, $\sqrt[]{x^2}=IxI=-x$
Déterminez la limite de : R		Exemple : Calculez a. b.
Synthèse

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