Chap10 : Croissances comparées Flashcards

1
Q

∀ n ∈ ℕ*,
lim ln(x)/(xⁿ) = ?
x -> +∞

A

0

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2
Q

∀ n ∈ ℕ,
lim (xⁿ)
ln(x)= ?
x -> 0

A

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3
Q

∀ n ∈ ℕ*,
lim exp(x)/(xⁿ) = ?
x -> +∞

A

+∞

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4
Q

∀ n ∈ ℕ,
lim (xⁿ)
exp(x)= ?
x -> -∞

A

0

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5
Q

Soit P(x) un polynôme
lim exp(x)/P(x) = ?
x -> +∞

A

±∞ (dépendant du signe du plus haut degré de P(x))

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6
Q

Soit P(x) un polynôme
lim P(x)*exp(x) = ?
x -> -∞

A

0

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