第一章 函数、极限、连续 第二节 极限 Flashcards

1
Q

概念:数列的极限

A

小册子P12

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2
Q

概念:函数的极限

A

小册子P12

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3
Q

概念:无穷小

A

小册子P14

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4
Q

概念:无穷大

A

小册子P14

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5
Q

概念:无穷小的比较

A

小册子P15

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6
Q

定理:数列极限存在的充分必要条件(1)

A

小册子P15

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7
Q

定理:数列极限的唯一性(1)

A

小册子P15

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8
Q

定理:数列极限的有界性(1)

A

小册子P15

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9
Q

定理:数列极限的保号性、保号性的推论(2)

A

小册子P16

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10
Q

定理:收敛数列与子数列的关系(1)

A

小册子P16

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11
Q

定理:数列极限的单调有界准则(1)

A

小册子P16

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12
Q

定理:数列极限的夹逼准则(1)

A

小册子P16

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13
Q

定理:常用的数列极限(4)

A

小册子P17

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14
Q

定理:函数极限的唯一性(1)

A

小册子P17

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15
Q

定理:函数极限的局部有界性(1)

A

小册子P17

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16
Q

定理:函数极限的局部保号性、保号性的推论(2+1)

A

小册子P17,全书P9

17
Q

定理:函数极限与数列极限的关系(1)

A

小册子P18

18
Q

定理:函数极限的夹逼定理(1)

A

小册子P18

19
Q

定理:复合函数求极限(1)

A

小册子P18

20
Q

定理:等价无穷小替换定理(1)

A

小册子P18

21
Q

定理:常用的等价无穷小(13)

A

小册子P19

22
Q

定理:等价无穷小的充分必要条件(1)

A

小册子P19

23
Q

定理:无穷小与函数极限的关系(1)

A

小册子P19

24
Q

定理:无穷小的性质(4)

A

小册子P20

25
Q

定理:极限的四则运算法则(3+2+2)

A

小册子P20,全书P10,全书P28

26
Q

定理:两个重要极限,其他重要极限(2+5)

A

小册子P20,全书P10

27
Q

定理:洛必达法则(3+3)

A

小册子P21,全书P11

28
Q

定理:带佩亚诺余项的泰勒公式(1)

A

小册子P22

29
Q

定理:常用函数的带佩亚诺余项的麦克劳林公式(5)

A

小册子P22

30
Q

定理:利用定积分求和式极限(1)

A

小册子P23

31
Q

定理:函数极限存在的充分必要条件(1)

A

全书P9