(1/2000-1)*(1/1999-1)*…*(1/1001-1)*(1/1000-1)
问题描述:
(1/2000-1)*(1/1999-1)*…*(1/1001-1)*(1/1000-1)
答
原式=-1999/2000*(-1998/1999)*……*(-1000/1001)*(-999/1000)=-999/2000
(1/2000-1)*(1/1999-1)*…*(1/1001-1)*(1/1000-1)
原式=-1999/2000*(-1998/1999)*……*(-1000/1001)*(-999/1000)=-999/2000