algèbre lycée recueilchapitre 0exercice 0.2conjectures
An inequality with factorials
Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar · ★★★★★
Statement
La propriété \[ \frac{1}{n!} > \frac{8^n}{(2n)!} \] est-elle vraie pour tout entier naturel $n$ ?
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Origin : Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar
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