Équivalents en 0 Flashcards

1
Q

Équivalent exp(x) - 1

A

x

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2
Q

Équivalent sin(x)

A

x

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3
Q

Équivalent tan(x)

A

x

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4
Q

Équivalent sh(x)

A

x

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5
Q

Équivalent 1-cos(x)

A

x²/2

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6
Q

Équivalent ch(x) - 1

A

x²/2

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7
Q

Équivalent th(x)

A

x

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8
Q

Équivalent ln(1+x)

A

x

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9
Q

Équivalent Arcsin(x)

A

x

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10
Q

Équivalent Arccos(x)

A

π/2

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11
Q

Équivalent Arctan(x)

A

x

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12
Q

Équivalent (1+x)^α - 1

A

αx

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13
Q

Formule de Stirling

A

n! ∼ √(2πn)*(n/e)ⁿ

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14
Q

Équivalent de Σ 1/k

k variant de 1 à n

A

ln n

Σ 1/ k = ln n + γ + 1/(2n) + o(1/n)

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