计算 (1/100-1)×(1/99-1)× (1/98-1)× ...× (1/2-1)
问题描述:
计算 (1/100-1)×(1/99-1)× (1/98-1)× ...× (1/2-1)
答
(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)