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Author(s) Philippe Delsarte, Manon Oreins
Deadline No deadline
Submission limit No limitation
Category tags Fct, limite

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Fonctions - Q22

Calculer les limites suivantes

Question 1:
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\begin{equation*} \lim_{x \rightarrow 3} \, \frac{x^2 + \frac{x+1}{x-3}}{2x+1 - \frac{x^2}{x-3}} \end{equation*}
Question 2:
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\begin{equation*} \lim_{x \rightarrow 3} \, \frac{\sqrt[3]{x^2-9} + \sqrt[3]{x-3}}{\sqrt[3]{x^3 - 3 x^2}} \end{equation*}
Question 3:
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\begin{equation*} \lim_{x \rightarrow 2} \, \frac{x - \sqrt{x+2}}{\sqrt{4x+1}-3} \end{equation*}
Question 4:
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\begin{equation*} \lim_{x \rightarrow 1} \, \frac{\sqrt[3]{x+7} - 2}{x-1} \end{equation*}
Question 5:
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\begin{equation*} \lim_{x \rightarrow + \infty} \frac{\sqrt{x^2 + 2} - x} {\sqrt[4]{x^4 - 4 x^2}} \end{equation*}
Question 6:
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\begin{equation*} \lim_{x \rightarrow + \infty} \left( \sqrt{x^2 + x + 1} - a x \right) \end{equation*}