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数学
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计算:(-1+1/100)*(-1+1/101)*(-1+1/102)*···*(-1+1/2010)
人气:189 ℃ 时间:2020-04-15 20:52:15
解答
(-1+1/100)*(-1+1/101)*(-1+1/102)*···*(-1+1/2010)
=(-99/100)*(-100/101)*(-101/102)*(-102/103)*.*(-2008/2009)*(-2009/2010)
=-99/2010
=-33/670
分子分母交叉约分,最后分子上只剩下了99,分母上只剩下2010,共有2010-100+1=1911项,1911项负数相乘,得数为负!
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