Limites des fonctions Flashcards

1
Q

Limx→+∞ x² ?

A

+∞

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2
Q

Lim x→−∞ (x²) ?

A

+∞

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3
Q

Limx→+∞ x³ ?

A

+∞

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4
Q

Limx→−∞ x³ ?

A

−∞

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5
Q

limx→+∞ 1/x ?

A

0

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6
Q

limx→−∞ 1/x ?

A

0

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7
Q

Asymptote verticale ?

A

limx→a f(x) =∞

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8
Q

Asymptote horizontale ?

A

La droite d’équation y = B est asymptote horizontale à la courbe représentative de la fonction f si limx→∞ f(x) = B

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9
Q

limx→+∞ √x =

A

+∞

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10
Q

limx→+∞ e^x

A

+∞

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11
Q

limx→-∞ e^x =

A

0

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12
Q

Quels théorèmes pouvons nous appliquer ?

A

Théorèmes de comparaison, et d’encadrement

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13
Q

limx→+∞ e^x/x =

A

+∞

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14
Q

limx→+∞ e^x/x^n =

A

+∞

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15
Q

limx→-∞ (x*e^x) =

A

0

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16
Q

limx→-∞ (x^n*e^x) =

17
Q

limx→+∞ ln(x)/x =

18
Q

limx→+∞ ln(x)/x^n =

19
Q

limx→0 x*ln(x) =

20
Q

limx→0 x^n*ln(x) =