chap. 4 : lim. de suites Flashcards

1
Q

une suite est convergente si …

A

elle admet comme lim L un réel

la limite est dite finie

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2
Q

lim (1/n)

A

0

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3
Q

lim(1 / racine carrée de n)

A

0

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4
Q

lim (1 /n^2)

A

0

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5
Q

lim 1 / (n^k)

A

0

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6
Q

Si -1 < q < 1 alors lim (q^n)

A

= O

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7
Q

Toute suite croissante et majorée est

A

convergente

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8
Q

Toute suite décroissante et minorée est

A

convergente

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9
Q

Une suite non convergente est

A

divergente

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10
Q

Toute suite croissante et non majorée a pour limite

A

+ ∞

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11
Q

toute suite décroissante et non minorée possède pour limite

A
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12
Q

lim : l + (+∞)

A

+∞

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13
Q

lim : + ∞ + (+∞)

A

+ ∞

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14
Q

lim : +∞ + (-∞)

A

F.I

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15
Q

lim : l x ∞

A

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16
Q

lim : ∞ x ∞

A

17
Q

lim : O x ∞

A

F.I

18
Q

lim : l / 0

A

19
Q

lim : l / ∞

A

0

20
Q

lim : ∞ / l

A

21
Q

lim : O / O et ∞ / ∞

A

F.I

22
Q

Si lim Un > Vn et lim Vn = +∞

A

alors lim Un = +∞

23
Q

Si Un < Vn et si lim Vn = -∞

A

alors lim Un = -∞

24
Q

Si lim Un = L et si lim Vn = L’ et que Un > Vn

A

alors L > L’

25
Q

Théorème des gendarmes

A

Si Un < Vn < Wn et si lim Un = lim Wn = L alors lim Vn = L