1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看

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1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看

1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看
1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100
要用拆项相消法帮忙看看

1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看
1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100
=1-1/2+1/2-1/3+1/4-1/5+……+199-1/100
=1-1/100
=99/100