(1/2-1)*(1/3-1)*(1/4-1)*(1/5-1):;;;;;;;;;;*(1/2006-10::;;;是省略号
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![(1/2-1)*(1/3-1)*(1/4-1)*(1/5-1):;;;;;;;;;;*(1/2006-10::;;;是省略号](/uploads/image/z/10406683-19-3.jpg?t=%281%2F2-1%29%2A%281%2F3-1%29%2A%EF%BC%881%2F4-1%EF%BC%89%2A%EF%BC%881%2F5-1%29%3A%3B%3B%3B%3B%3B%3B%3B%3B%3B%3B%2A%281%2F2006-10%EF%BC%9A%EF%BC%9A%EF%BC%9B%3B%3B%E6%98%AF%E7%9C%81%E7%95%A5%E5%8F%B7)
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(1/2-1)*(1/3-1)*(1/4-1)*(1/5-1):;;;;;;;;;;*(1/2006-10::;;;是省略号
(1/2-1)*(1/3-1)*(1/4-1)*(1/5-1):;;;;;;;;;;*(1/2006-10
::;;;是省略号
(1/2-1)*(1/3-1)*(1/4-1)*(1/5-1):;;;;;;;;;;*(1/2006-10::;;;是省略号
(1/2-1)*(1/3-1)*(1/4-1)*(1/5-1):;;;;;;;;;;*(1/2006-1)
=(-1/2)*(-2/3)*(-3/4)*.*(-2005/2006)进行约分,且一共为奇数项
=-1/2006
(1/2-1)(1/3-1)(1/4-1)…(1/2006-1)
=-(1/2)(2/3)(3/4)…(2005/2006)
=-1/2006。
(1/2-1)(1/3-1)(1/4-1)(1/5-1)...(1/2006-1)
=(1/2)(2/3)(3/4)(4/5)...(2004/2005)(2005/2006),从第一项到倒数第二项,每个分数的分母和后面的分子约分
=1/2006