作业帮 > 数学 > 作业

1.化简1/x(x-1)+1/(x-1)(x-2)+1/(x-2)(x-3)+…+1/(x-9)(x-10)= 一定要写

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/05/17 12:31:38
1.化简1/x(x-1)+1/(x-1)(x-2)+1/(x-2)(x-3)+…+1/(x-9)(x-10)= 一定要写过程,
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)
再问: 你确定是对的吗?
再答: 确定。望采纳,谢谢