计算 (1/100-1)×(1/99-1)× (1/98-1)× ...× (1/2-1)

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计算 (1/100-1)×(1/99-1)× (1/98-1)× ...× (1/2-1)

计算 (1/100-1)×(1/99-1)× (1/98-1)× ...× (1/2-1)
计算 (1/100-1)×(1/99-1)× (1/98-1)× ...× (1/2-1)

计算 (1/100-1)×(1/99-1)× (1/98-1)× ...× (1/2-1)
(1/100-1)×(1/99-1)× (1/98-1)× ...× (1/2-1)
=(-99/100)(-98/99).(-1/2)
=-(99/100×98/99×...×1/2)(一共有99个“-”,所以先定符号,积为负)
=-1/100(约分后,方可得出这一结论)

(1/100-1)*(1/99-1)*(1/98-1)*...*(1/2-1)
=[-99/100][-98/99]....[-1/2]
=-1/100,(一共有99个“-”,所以积为负)

(1/100-1)×(1/99-1)× (1/98-1)× ...× (1/2-1)
=(-99/100)(-98/99)....(-1/2)
=-(99/100×98/99×...×1/2)(一共有99个“-”,所以先定符号,积为负)
=-1/100(约分后,方可得出这一结论)