1/1x2十1/2x3十1/3x4十..….十1/99x100=?

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1/1x2十1/2x3十1/3x4十..….十1/99x100=?
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1/1x2十1/2x3十1/3x4十..….十1/99x100=?
1/1x2十1/2x3十1/3x4十..….十1/99x100=?

1/1x2十1/2x3十1/3x4十..….十1/99x100=?
1-1/2+1/2-1/3+1/3.+1/99-1/100=1-1/100=99/100