L'exercice suivant est automatiquement et aléatoirement généré par ataraXy.
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La correction se trouve en bas de page.
Exercice
Calculer les limites suivantes.
- \( \lim{x\rightarrow {\frac{1}{2}}^{\mathbf{ -}}} \dfrac{-3}{6 x -3}=\)
- \( \lim{x\rightarrow {-\frac{3}{2}}^{\mathbf{ -}}} \dfrac{8}{-6 x -9}=\)
- \( \lim{x\rightarrow {-\frac{28}{39}}^{\mathbf{ +}}} \dfrac{2 x +6}{-\dfrac{39}{7} x -4}=\)
- \( \lim{x\rightarrow {5}^{\mathbf{ +}}} \dfrac{\dfrac{36}{7}}{- x +5}=\)
- \( \lim{x\rightarrow {-\frac{9}{4}}^{\mathbf{ -}}} \dfrac{-3 x -\dfrac{1}{2}}{4 x +9}=\)
- \( \lim{x\rightarrow {\frac{3}{2}}^{\mathbf{ -}}} \dfrac{- x -3}{3 x -\dfrac{9}{2}}=\)
- \( \lim{x\rightarrow {-\frac{41}{6}}^{\mathbf{ -}}} \dfrac{- x -9}{- x -\dfrac{41}{6}}=\)
- \( \lim{x\rightarrow {1}^{\mathbf{ +}}} \dfrac{-6}{-8 x +8}=\)
- \( \lim{x\rightarrow {-\frac{6}{5}}^{\mathbf{ +}}} \dfrac{-3}{-5 x -6}=\)
- \( \lim{x\rightarrow {\frac{639}{4}}^{\mathbf{ +}}} \dfrac{-4 x -9}{\dfrac{2}{9} x -\dfrac{71}{2}}=\)
Cliquer ici pour afficher la solution
Exercice
- \( \lim{x\rightarrow {\frac{1}{2}}^{\mathbf{ -}}} \dfrac{-3}{6 x -3}=\) \( +\infty\)
- \( \lim{x\rightarrow {-\frac{3}{2}}^{\mathbf{ -}}} \dfrac{8}{-6 x -9}=\) \( +\infty\)
- \( \lim{x\rightarrow {-\frac{28}{39}}^{\mathbf{ +}}} \dfrac{2 x +6}{-\dfrac{39}{7} x -4}=\) \( -\infty\)
- \( \lim{x\rightarrow {5}^{\mathbf{ +}}} \dfrac{\dfrac{36}{7}}{- x +5}=\) \( -\infty\)
- \( \lim{x\rightarrow {-\frac{9}{4}}^{\mathbf{ -}}} \dfrac{-3 x -\dfrac{1}{2}}{4 x +9}=\) \( -\infty\)
- \( \lim{x\rightarrow {\frac{3}{2}}^{\mathbf{ -}}} \dfrac{- x -3}{3 x -\dfrac{9}{2}}=\) \( +\infty\)
- \( \lim{x\rightarrow {-\frac{41}{6}}^{\mathbf{ -}}} \dfrac{- x -9}{- x -\dfrac{41}{6}}=\) \( -\infty\)
- \( \lim{x\rightarrow {1}^{\mathbf{ +}}} \dfrac{-6}{-8 x +8}=\) \( +\infty\)
- \( \lim{x\rightarrow {-\frac{6}{5}}^{\mathbf{ +}}} \dfrac{-3}{-5 x -6}=\) \( +\infty\)
- \( \lim{x\rightarrow {\frac{639}{4}}^{\mathbf{ +}}} \dfrac{-4 x -9}{\dfrac{2}{9} x -\dfrac{71}{2}}=\) \( -\infty\)