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# 问题：乌龟和兔子相距 100 米 , 乌龟在前兔子在后 , 兔子奔跑速度是乌龟的 10 倍 . 它们同时起跑 , 兔子永远追不上乌龟 . - PowerPoint PPT Presentation

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*四、柯西审敛原理

an表示边数

0

1

( s )

(又称几何级数)

( q称为公比 ) 的敛散性.

1) 若

2). 若

n 为奇数

n 为偶数

(2)

(1) 若两级数中一个收敛一个发散 , 则

(用反证法可证)

4项

2项

2项

8项

(1) 令

(2)

(3)

*四、柯西审敛原理

1. 由定义,若 , 则级数收敛;

2. 当 , 则级数发散;

3.按基本性质.

• P255. 1(1, 3), 2(2, 3, 4), 3, 4(1, 3, 5)