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convergence absolue ∑n=1∞(−1)nn
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Solution
converge(conditionnellement)
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∑n=1∞(−1)nn
Vérifier la convergence de ∑n=1∞(−1)nn:converge
La série comporte des éléments positifs et négatifs, vérifier la convergence conditionnelle/absolue
Définition de la convergence absolue/conditionnelle
Convergence absolue : ∑an est absolument convergente si ∑|an| est convergente Convergence conditionnelle : ∑an est conditionnellement convergente si ∑|an| est divergente et ∑an est convergente