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1-1/2-1/6-1/12-1/20-……-1/99*100 用简便方法计算
人气:372 ℃ 时间:2020-01-28 20:56:35
解答
1-1/2-1/6-1/12-1/20-.-1/99×100
=1-1/2-(1/2-1/3)-(1/3-1/4)-(1/4-1/5)-.-(1/99-1/00)
=1/2-1/2+1/3-1/3+1/4-1/4+1/5-.-1/99+1/100
=1/100
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