计算：1/1x2+1/2x3+1/3x4+1/4x5+……1/39x40

分类: 作业答案 • 2021-12-20 01:33:06

问题描述：

答

原式
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/39-1/40(裂顶,中间相消)
=1-1/40
=39/40

答

1/1x2+1/2x3+1/3x4+1/4x5+……1/39x40
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/39-1/40
=1-1/40
=39/40