13.1/(12×13)+1/(13×14)+……+1/(19×20)的值为:A.1/12 B.1/20 C.1/30 D.1/40

热心网友

1/(12×13)=(13-12)/(12×13)=1/12-1/13以此类推,原式=1/12-1/13+1/13-1/14+……+1/19-1/20 =1/12-1/20=1/30选C

热心网友

C;原式=1/12-1/20=1/30