题目

计算:1/a-1+1/(a-1)(a-2)+1/(a-2)(a-3)+……+1/(a-2010)(a-2011)谢谢了,

提问时间：2020-12-28

答案

1/a-1+1/(a-1)(a-2)+1/(a-2)(a-3)+……+1/(a-2010)(a-2011) =1/（a-1）+1/(a-2)-1/(a-1)+1/(a-3)-1/(a-2)+...+1/(a-2011)-1/(a-2010) =1/(a-2011)