Ivan Shishkin, Rye (1878)

Problems/Real analysis

une fonction constante

by mathman·
40
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 110First steps / middle schoolPremiers pas / collège
  2. 1125Beginner / high schoolDébutant / lycée
  3. 2650Intermediate / undergraduateIntermédiaire / licence
  4. 5170Advanced / graduateAvancé / master
  5. 7190Expert / specializedExpert / spécialisé
  6. 91100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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ReviewedReviewed by Sequoia
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Français

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Montrez que la fonction xRk=+ex+kln(2)eex+kln(2)+1\displaystyle x\in\R\longmapsto \sum_{k=-\infty}^{+\infty}\frac{e^{x+k\ln(2)}}{e^{e^{x+k\ln(2)}}+1} est constante et déterminer sa valeur.

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