algèbre lycée recueilchapitre 0exercice 0.4

For which values of n?

Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar · ★★★★★

Statement

Pour quelles valeurs de $n$ a-t-on :

\[ \frac{1}{n} \leq 0{,}01 \]
\[ 0{,}49 \leq \frac{n+13}{2n+25} \leq 0{,}51 \]
\[ 2{,}5 \leq \frac{1}{0!} + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \cdots + \frac{1}{n!} \leq 4 \]

Preview rendered with KaTeX — the compiled PDF is the reference layout.

Origin : Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar

Reproduced for non-commercial educational purposes. Rights to the original statement belong to its authors / the competition organiser.

PDFs are produced by the GitHub Actions pipeline: they may be missing in local development.