判定4n-3\n^3-5n-7的敛散性
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解决时间 2021-02-10 06:12
- 提问者网友:謫仙
- 2021-02-10 00:17
判定4n-3\n^3-5n-7的敛散性
最佳答案
- 五星知识达人网友:你哪知我潦倒为你
- 2021-02-10 00:33
(5) 1/(n(n+1)(n+2) =(1/2) × 2/n(n+1)(n+2) =(1/2) × [(n+2)-n]/n(n+1)(n+2) =(1/2)× [(n+2)/n(n+1)(n+2)-n/n(n+1)(n+2)] =(1/2) × [1/n(n+1)-1/(n+1)(n+2)] 所以: 1/(1×2×3)+……+1/n(n+1)(n+2) =(1/2)×[1/1×2-1/2×3+……+1/n(n+1)-1/(n+1)(n...2427
全部回答
- 1楼网友:街头电车
- 2021-02-10 01:23
(5) 1/(n(n+1)(n+2) =(1/2) × 2/n(n+1)(n+2) =(1/2) × [(n+2)-n]/n(n+1)(n+2) =(1/2)× [(n+2)/n(n+1)(n+2)-n/n(n+1)(n+2)] =(1/2) × [1/n(n+1)-1/(n+1)(n+2)] 所以: 1/(1×2×3)+……+1/n(n+1)(n+2) =(1/2)×[1/1×2-1/2×3+……+1/n(n+1)-1/(n+1)(n...2427
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