Equivalents usuels Flashcards

(31 cards)

1
Q

e^x -1 en 0

A

x

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2
Q

cos x en 0

A

1

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3
Q

sin x en 0

A

x

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4
Q

(1+x)^a en 0

A

1

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5
Q

tan x en 0

A

x

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6
Q

rac(1+x) en 0

A

1

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7
Q

somme des akx^k de p a p’ en l’infini

A

ap’x^p’

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8
Q

somme des akx^k de p a p’ en 0

A

apx^p

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9
Q

ln(1+x) en 0

A

x

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10
Q

1-cos(x) en 0

A

(x^2)/2

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11
Q

x-sin(x) en 0

A

(x^3)/6

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12
Q

(1+x)^a - 1 en 0

A

ax, a appartient a R

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13
Q

rac(a+x) - 1 en 0

A

x/2

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14
Q

ch(x) en 0

A

1

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15
Q

sh(x) en 0

A

x

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16
Q

th(x) en 0

17
Q

Arccos(x) en 0

18
Q

Arcsin(x) en 0

19
Q

Arctan(x) en 0

20
Q

Argsh(x) en 0

21
Q

Argth(x) en 0

22
Q

Arccos(x) en 1-

A

sin(Arccos(x)) et rac(2(1-x))

23
Q

ch(x) - 1 en 0

24
Q

sh(x) - x en 0

25
th(x) - x en 0
-(x^3)/3
26
Arccos(x) - pi/2 en 0
-x
27
Arcsin(x) - x en 0
(x^3)/6
28
Arctan(x) - x en 0
-(x^3)/3
29
Argsh(x)-x en 0
-(x^3)/6
30
Argth(x)-x en 0
(x^3)/3
31
Argch(x) en 1+
rac(2(x-1))