1×1/2+1/2×1/3+1/3×1/4+.1/n×1/(n+1)怎么做RT

来源：学生作业帮助网编辑：作业帮时间：2024/05/01 09:09:36

1×1/2+1/2×1/3+1/3×1/4+.1/n×1/(n+1)怎么做RT
1×1/2+1/2×1/3+1/3×1/4+.1/n×1/(n+1)怎么做
RT

1×1/2+1/2×1/3+1/3×1/4+.1/n×1/(n+1)怎么做RT
1×1/2+1/2×1/3+1/3×1/4+.1/n×1/(n+1)
=1-1/2+1/2-1/3+1/3-1/4+.1/n-1/(n+1)
=1-1/(n+1)
=n/(n+1)