1/1x3+1/2x4＋1/3x5＋1/4x6＋……＋1/19x21=((1-1/3)+(1/2-1/4)+(1/3-1/5)+……+(1/19-1/21))*0.5=(1+1/2-1/20-1/21)*0.5=589/840