题目应是x-1分之1加（x-1）乘以（x-2）分之1加（x-2）乘以（x-3）分之1+……+（x-99）乘以（x-100）分之1=11/(x-1)+1/(x-1)(x-2)+1/（x-2）(x-3)+……+1/（x-99）（x-100）=11/(x-1)+1/(x-2)-1/(x-1)+1/（x-3）-1/(x-2)+……+1/（x-100）-1/（x-99）=11/（x-100）=1x-100=1x=101
