计算(-1+1/100)X(-1+1/101)X(-1+1/102)X.X(-1+1/2010)

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计算(-1+1/100)X(-1+1/101)X(-1+1/102)X.X(-1+1/2010)

计算(-1+1/100)X(-1+1/101)X(-1+1/102)X.X(-1+1/2010)
计算(-1+1/100)X(-1+1/101)X(-1+1/102)X.X(-1+1/2010)

计算(-1+1/100)X(-1+1/101)X(-1+1/102)X.X(-1+1/2010)
(-1+1/100)X(-1+1/101)X(-1+1/102)X.X(-1+1/2010)
=99/100×100/101×101/102×.×2009/2010
=99/2010
=33/670

(1-100)/100x(1-101)/101x(1-102)/102x...x(1-2009)/2009x(1-2010)/2010
=-99/100x(-100)/101x(-101)/102x...x(-2008)/2009x(-2009)/2010
=99/2010