Calculer la limite de f_n(x) - nx + 2 quand x tend vers -infinity et interpréter le résultat graphiquement.

April 27, 2026Mathematics

ScanSolve AI Answer

April 27, 2026

Voici la solution détaillée des questions posées.

Partie I

1-a) Calculer $\lim_{x \to -\infty} (f_n(x) - nx + 2)$ puis interpréter graphiquement le résultat obtenu.

Step 1: Substituer l'expression de $f_n(x)$ dans la limite. $f_n(x) - nx + 2 = \left( \frac{-2e^x}{1+e^x} + nx \right) - nx + 2 = \frac{-2e^x}{1+e^x} + 2$ Step 2: Évaluer la limite lorsque $x \to -\infty$ . Lorsque $x \to -\infty$ , $

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Voici la solution détaillée des questions posées. Partie I 1-a) Calculer _x - (f_n(x) - nx + 2) puis interpréter graphiquement le résultat obtenu.

Asked on April 27, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 27, 2026

Voici la solution détaillée des questions posées. Partie I 1-a) Calculer _x - (f_n(x) - nx + 2) puis interpréter graphiquement le résultat obtenu. Step 1: Substituer l'expression de f_n(x) dans la limite. f_n(x) - nx + 2 = ( (-2e^x)/(1+e^x) + nx ) - nx + 2 = (-2e^x)/(1+e^x) + 2 Step 2: Évaluer la limite lorsque x -. Lorsque x -, $