Chapter 4 级数 Flashcards

1
Q

数列收敛的充要条件

A

实部虚部分别收敛。

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2
Q

级数绝对收敛的充要条件

A

实部虚部分别绝对收敛。

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3
Q

常见发散级数

A

调和级数 1/n

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4
Q

常见收敛级数

A

P级数1/n^p (P>2); 交错级数(-1)^n/n; 1/2^n

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5
Q

Abel定理

A

函数项级数,z0处收敛,|z||z0|发散

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6
Q

比值、根值审敛法

A

n->无穷 |C/C|=1/R

开n根|Cn|=1/R

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7
Q

最小收敛半径原则

A

R=min(r1,r2) 时,可随意加减

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