Ivan Shishkin, Rye (1878)

Problems/Real analysisUnreviewed

ez=z\displaystyle\mathrm{e}^{z}=z

by mathman·
50
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. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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Unreviewed. This problem has not been reviewed by trusted users yet.

Montrez que l’équation ez=z\displaystyle\mathrm{e}^{z}=z admet une infinité de solutions dans C\mathbb{C}.

Déterminez une méthode pour obtenir une valeur approchée (aussi précise que l’on souhaite) de ces solutions.

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