1/x(x-1)+1/(x-1)(x-2)+1/(x-2)(x-3)+…+1/(x-9)(x-10)=1/(x-1)-1/x+1/(x-2)-1/(x-1)+1/(x-3)-1/(x-2)+……+1/(x-10)-1/(x-9)
=1/(x-10)-1/x
=10/x(x-10)你确定是对的吗？确定。望采纳，谢谢