计算(-1+1/100)x(-1+1/101)x(-1+1/102)x...x(-1+1/2013)=

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计算(-1+1/100)x(-1+1/101)x(-1+1/102)x...x(-1+1/2013)=

(-1+1/100)x(-1+1/101)x(-1+1/102)x...x(-1+1/2013)
=(-99/100)x(-100/101)x(-101/102)x...x(-2012/2013)---(前一项的分母可以和后一项的分子约分)
=-99/2013
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-99/100*(-100/101)*....*(-2011/2012)*(-2012/2013)=-99/2013