1/2 +2*1/3 +3*1/4+……+99*1/100
=(1-1/2)+(1-1/3)+(1-1/4)+……+(1-1/100)
=1*99-(1/2+1/3+1/4+……+1/100)
=99-(1/2+1/3+1/4+……+1/100)
貌似无法化简
1/2 +2*1/3 +3*1/4+……+99*1/100
=(1-1/2)+(1-1/3)+(1-1/4)+……+(1-1/100)
=1*99-(1/2+1/3+1/4+……+1/100)
=99-(1/2+1/3+1/4+……+1/100)
貌似无法化简