无穷级数 Flashcards

1
Q

收敛的必要条件是什么? 收敛必要条件的逆否命题是什么?

A
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2
Q

三个重要级数 :p级数、等比级数、广义P级数在什么条件收敛、发散?

A
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3
Q

级数收敛的判断 (利用重要级数,知道判断的理由)

A
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4
Q

敛散性的运算性质是什么?

;k乘、有限、+

A
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5
Q

数项敛散性的判断方法有什么?

Hints : 正项、交错、任意项

A
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6
Q

正项级数的比较法是什么?怎么判断收敛、发散?

A
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7
Q

正项级数的敛散性判断的比值法和根式法是什么?怎么用来判断收敛、发散?

A
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8
Q

题目 . 如何运用 里的比值法?

A
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9
Q

题目 如何运用 根式法?

A
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10
Q

什么是莱布尼茨敛散判断法?

A
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11
Q

如何运用 莱布尼茨敛散判断法?

A
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12
Q

什么级数的绝对收敛、条件收敛?

A
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13
Q

常数项级数判断收敛、发散的方法是什么?


例题:

A
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14
Q

题目 . 如何求幂级数的收敛域?

A
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15
Q

题目 . 如何求幂级数的收敛域?

A
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16
Q

题目 . 如何求缺项的幂级数的收敛域?

A
17
Q

题目 . 如何求幂级数的收敛域?(概念)

A
18
Q

题目 . 如何求幂级数的收敛域?(概念难题)

A
19
Q

幂级数 p(n)*x 函数公式是什么?

A
20
Q

幂级数 : x/ Q(n) 函数公式是什么?

A
21
Q

幂级数 :数项级数 函数公式是什么?

A
22
Q

题目 . 如何求幂级数的收敛域和函数?

A
23
Q

题目 . 如何求幂级数的函数的和?

A
24
Q

题目 . 如何求幂级数的函数的和?

A
25
Q

题目 . 如何求幂级数的函数的和?

A
26
Q

题目 . 如何将函数展开成幂级数?

A
27
Q

题目 . 如何将函数展开成幂级数?

A