你好
1/1×2=1-1/2
1/2×3=1/2-1/3
...
1/2008×2009=1/2008-1/2009
1/1×2+1/2×3+1/3×4+.+1/2008×2009
=1-1/2+1/2-1/3+1/3-1/4+.+1/2008-1/2009
=1--1/2009
=2008/2009
【数学辅导团】为您解答,不理解请追问,理解请及时选为满意回答!(*^__^*)谢谢!
你好
1/1×2=1-1/2
1/2×3=1/2-1/3
...
1/2008×2009=1/2008-1/2009
1/1×2+1/2×3+1/3×4+.+1/2008×2009
=1-1/2+1/2-1/3+1/3-1/4+.+1/2008-1/2009
=1--1/2009
=2008/2009
【数学辅导团】为您解答,不理解请追问,理解请及时选为满意回答!(*^__^*)谢谢!