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[6 points] Pour chaque entier k 1, soit ak = In(2k + 5) In(2k + 3). a) Considrons la suite {ak}tl = {In(2k +

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[6 points] Pour chaque entier k 1, soit ak = In(2k + 5) In(2k + 3). a) Considrons la suite {ak}tl = {In(2k + 5) In(2k + Cette suite est-elle convergente ou divergente ? Si elle converge, trouvez la valeur exacte de sa limite. Montrez tout votre travail et justifiez votre rponse. Assurez-vous d'utiliser la notation mathmatique approprie. = E (In(2k + 5) - 1110k + b) Considrons la Srie tlescopique Trouvez une expression simplifie de la nth somme partielle Sn, en annulant les termes de manire tlescopique. Montrez tout votre travail ! converge ou d i verge. S i e Ile converge , trouvez sa somme exa cte c) Determinez si la Srie sinon, expliquz bribvement pourquoi elle diverge.

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