【1-2/1x2/1 】x【1-3/1x3/1】x【1-4/1x4/1】.【1-2005/1x2005/1】=

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【1-2/1x2/1 】x【1-3/1x3/1】x【1-4/1x4/1】.【1-2005/1x2005/1】=
【1-2/1x2/1 】x【1-3/1x3/1】x【1-4/1x4/1】.【1-2005/1x2005/1】=

【1-2/1x2/1 】x【1-3/1x3/1】x【1-4/1x4/1】.【1-2005/1x2005/1】=
平方差
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)……(1-1/2005)(1+1/2005)
=(1/2)(3/2)(2/3)(4/3)……(2004/2005)(2006/2006)
=(1/2)(2006/2005)
=1003/2005