(1998/1-1)(1997/1-1)(1996/1-1)...(1001/1-1)(1000/1-1) Wrong, the numerator is 1, the denominator is 1998, everything else is

(1998/1-1)(1997/1-1)(1996/1-1)...(1001/1-1)(1000/1-1) Wrong, the numerator is 1, the denominator is 1998, everything else is

If 1 is changed into 1998 / 1998, the first term is - 1997 / 1998
So the final result is - 999 / 1998, that is - 1 / 2