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Besoindaide131
@Besoindaide131
May 2019
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Bonsoir
pouvez vous svp m'aider à cette exercice
merci
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loulakar
Verified answer
Bonjour,
Il suffit de calculer f(1) :
f(1) = (1 - 1/2) (1 - 1/3) ... (1 - 1/2017)
f(1) = (2/2 - 1/2)(3/3 - 1/3)...(2017/2017 - 1/2017)
f(1) = 1/2 * 2/3 * 3/4 * 4/5 * ...* 2015/2016 * 2016/2017
Tu pourras remarquer que les dénominateurs de chaque fraction s'annule avec les numérateurs de la fraction suivante :
exemple : le 2 de 1/2 disparaît avec le 2 de 2/3 et ainsi de suite.
Il te reste donc à la fin : 1/2017
1 votes
Thanks 1
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Lista de comentários
Verified answer
Bonjour,Il suffit de calculer f(1) :
f(1) = (1 - 1/2) (1 - 1/3) ... (1 - 1/2017)
f(1) = (2/2 - 1/2)(3/3 - 1/3)...(2017/2017 - 1/2017)
f(1) = 1/2 * 2/3 * 3/4 * 4/5 * ...* 2015/2016 * 2016/2017
Tu pourras remarquer que les dénominateurs de chaque fraction s'annule avec les numérateurs de la fraction suivante :
exemple : le 2 de 1/2 disparaît avec le 2 de 2/3 et ainsi de suite.
Il te reste donc à la fin : 1/2017