作业帮1/1x3+1/3x5+1/5x7+.+1/2009x2011
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/19 01:12:15
1/1x3+1/3x5+1/5x7+.+1/2009x2011
1/1x3+1/3x5+1/5x7+.+1/2009x2011
1/1x3+1/3x5+1/5x7+.+1/2009x2011
原式=1/2×(1-1/3)+1/2×(1/3-1/5)+……+1/2×(1/2009-1/2011)
=1/2×(1-1/3+1/3-1/5+……+1/2009-1/2011)
=1/2×(1-1/2011)
=1005/2011