1/2+1/6+1/12+······+1/9900埃及分数怎样算

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1/2+1/6+1/12+······+1/9900埃及分数怎样算1/2+1/6+1/12+······+1/9900埃及分数怎样算1/2+1/6+1/12+······+1/9900埃及分数怎样算1

1/2+1/6+1/12+······+1/9900埃及分数怎样算
1/2+1/6+1/12+······+1/9900埃及分数怎样算

1/2+1/6+1/12+······+1/9900埃及分数怎样算
1/2+1/6+1/12+······+1/9900
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+.+(1/99-1/100)
=1-1/100=99/100

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