(2003/1-1)(2002/1-1)(2001/1-1)(2000/1-1)(1999/1-1)...(1001/1-1)(1000/1-1)的积

问题描述:

(2003/1-1)(2002/1-1)(2001/1-1)(2000/1-1)(1999/1-1)...(1001/1-1)(1000/1-1)的积

(1/2003-1)(1/2002-1)(1/2001-1)(1/2000-1)(1/1999-1)...(1/1001-1)(1/1000-1)因为共有(2003-1000)即1003个整式相乘,每个正式都为负,即最后结果为负上式=-(2002/2003)(2001/2002)(2000/2001)...