chap. 7 : lim. de fonctions Flashcards

1
Q

limite finie

A

possède un réel l comme limite

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2
Q

limite infinie

A

tend vers + ou - ∞

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3
Q

Quand f(x) admet une limite finie en +∞

A

la droite y=l admet une asymptote horizontale à Cf en +∞

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4
Q

Quand f(x) admet une limite finie en -∞

A

la droite y=l admet une asymptote horizontale à Cf en -∞

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5
Q

Si n est pair : lim (x -> -∞) de x^n

A

+∞

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6
Q

si n est impair : lim (x -> -∞) de x^n

A

= -∞

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7
Q

lim (x -> -∞) : e^x

A

= 0

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8
Q

lim (x-> +∞) : e^x

A

= +∞

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9
Q

lim (x -> -∞) (1 / x)

A

= 0-

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10
Q

si n est pair, lim (x -> -∞) : (1 / x^n)

A

0+

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11
Q

si n est impair, lim (x -> -∞) : (1 / x^n)

A

= O-

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12
Q

lim (x -> +∞) : (1 / x)

A

= 0+

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13
Q

lim (x -> +∞) : (1 / x^n)

A

= 0+

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14
Q

lim (x -> +∞) : (1 / racine carrée de x)

A

= 0+

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15
Q

Quand lim ( x -> a ) : f(x) = l

A

la limite est finie en a

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16
Q

Quand lim (x -> a ) = +∞, alors

A

la droite x = a est une asymptote verticale en +∞

17
Q

Quand lim (x -> a) = -∞

A

la droite x = a est une asymptote verticale à Cf

18
Q

lim d’une somme : +∞ + (-∞)

A

= F.I

19
Q

lim d’un produit : +∞ x +∞

A

= +∞

20
Q

lim d’un produit : -∞ x -∞

A

= +∞

21
Q

lim d’un produit : +∞ x -∞

A

= -∞

22
Q

lim d’un produit : 0 x +∞ ou -∞

A

= F.I

23
Q

lim d’un quotient : l / + ou -∞

A

= 0 + ou 0- (dépend du signe de ∞)

24
Q

lim d’un quotient : l / 0+ ou 0-

A

= +∞ ou -∞

25
Q

lim d’un quotient : +∞ ou -∞ / +∞ ou -∞

A

F.I

26
Q

lim d’un quotient : +∞ / 0+

A

= +∞

27
Q

lim d’un quotient : +∞ / 0-

A

= -∞

28
Q

lim d’un quotient : -∞ / 0+

A

= -∞

29
Q

lim d’un quotient : -∞ / 0-

A

= +∞

30
Q

lim d’un quotient : 0 / 0

A

= F.I