1×1/2+1/2×1/3+1/3×1/4+.+1/2008×1/2009的值
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![1×1/2+1/2×1/3+1/3×1/4+.+1/2008×1/2009的值](/uploads/image/z/10369341-45-1.jpg?t=1%C3%971%2F2%2B1%2F2%C3%971%2F3%2B1%2F3%C3%971%2F4%2B.%2B1%2F2008%C3%971%2F2009%E7%9A%84%E5%80%BC)
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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