44 lines
1.8 KiB
TeX
44 lines
1.8 KiB
TeX
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\collectexercises{banque}
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\begin{exercise}[subtitle={Limites des fonctions polynômes}, step={1}, topics={Limite}]
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Retrouver les limites suivantes
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\begin{multicols}{3}
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\begin{enumerate}
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\item $\ds \lim_{x \rightarrow +\infty} x^2 = $
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\item $\ds \lim_{x \rightarrow +\infty} 3x^2 = $
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\item $\ds \lim_{x \rightarrow +\infty} -5x^2 = $
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\item $\ds \lim_{x \rightarrow -\infty} x^2 = $
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\item $\ds \lim_{x \rightarrow -\infty} x^2 + 1= $
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\item $\ds \lim_{x \rightarrow -\infty} 0.1x^2 - 100= $
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\item $\ds \lim_{x \rightarrow +\infty} x = $
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\item $\ds \lim_{x \rightarrow +\infty} x^2 + x = $
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\item $\ds \lim_{x \rightarrow +\infty} x^2 - x + 1 = $
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\end{enumerate}
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\end{multicols}
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\end{exercise}
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\begin{exercise}[subtitle={Limites des fonctions de référence}, step={1}, topics={Limite}]
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Retrouver les limites suivantes
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\begin{multicols}{3}
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\begin{enumerate}
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\item $\ds \lim_{x \rightarrow +\infty} e^x = $
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\item $\ds \lim_{x \rightarrow +\infty} -2e^x = $
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\item $\ds \lim_{x \rightarrow -\infty} e^x + 1 = $
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\item $\ds \lim_{x \rightarrow -\infty} 1 - 0.1e^x = $
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\item $\ds \lim_{x \rightarrow 0+} \ln(x) = $
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\item $\ds \lim_{x \rightarrow 0+} \ln(x) + 10 = $
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\item $\ds \lim_{x \rightarrow +\infty} \ln(x) + 3= $
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\item $\ds \lim_{x \rightarrow +\infty} -2\ln(x) = $
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\item $\ds \lim_{x \rightarrow -\infty} 2\times\frac{1}{x} = $
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\item $\ds \lim_{x \rightarrow 0-} \frac{10}{x}= $
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\item $\ds \lim_{x \rightarrow 0+} \frac{-2}{x}= $
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\item $\ds \lim_{x \rightarrow +\infty} \frac{5}{x} + 1 = $
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\end{enumerate}
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\end{multicols}
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\end{exercise}
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\collectexercisesstop{banque}
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