1/2+2/3+3/4……1000/1001

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1/2+2/3+3/4……1000/1001
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1/2+2/3+3/4……1000/1001
1/2+2/3+3/4……1000/1001

1/2+2/3+3/4……1000/1001
1/2+2/3+3/4……1000/1001
=(1-1/2)+(1-1/3)+……+(1-1/1001)
=1000-(1/2+1/3+1/4+……+1/1001)
≈1000-[ln(1001)-1+γ]
=993.51403
γ这个数就叫作欧拉常数
0.57721566490153286060651209

1001-Psi(1002)-eulergamma

/2+2/3+3/4……1000/1001
=(1-1/2)+(1-1/3)+……+(1-1/1001)
=1000-(1/2+1/3+1/4+……+1/1001)
≈1000-[ln(1001)-1+γ]
=993.51403
γ这个数就叫作欧拉常数
0.57721566490153286060651209
参考资料:http://baike.baidu.com/view/296190.html
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