1/1x2+1/2x3+1/3x4+1/4x5+…+1/10x11

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/17 12:08:52
1/1x2+1/2x3+1/3x4+1/4x5+…+1/10x111/1x2+1/2x3+1/3x4+1/4x5+…+1/10x111/1x2+1/2x3+1/3x4+1/4x5+…+1/10x11原

1/1x2+1/2x3+1/3x4+1/4x5+…+1/10x11
1/1x2+1/2x3+1/3x4+1/4x5+…+1/10x11

1/1x2+1/2x3+1/3x4+1/4x5+…+1/10x11
原式=1-1/2+1/2-1/3+1/3-1/4 +1/10-1/11=1-1/11=10/11