1×1/2+1/2×1/3+1/3×1/4+.+1/2008×1/2009的值

1×1/2+1/2×1/3+1/3×1/4+.+1/2008×1/2009的值
1×1/2+1/2×1/3+1/3×1/4+.+1/2008×1/2009的值

1×1/2+1/2×1/3+1/3×1/4+.+1/2008×1/2009的值
1×1/2+1/2×1/3+1/3×1/4+.+1/2008×1/2009
=1-1/2+1/2-1/3+^……+1/2008-1/2009
=1-1/2009
=2008/2009

2008/2009

答案是2/（2009！）² 想知道解答过程的话就加分追问吧。

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