![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
(2003/1-1)(2002/1-1)(2001/1-1)(2000/1-1)(1999/1-1)...(1001/1-1)(1000/1-1)
(1/2003-1)(1/2002-1)(1/2001-1)(1/2000-1)(1/1999-1)...(1/1001-1)(1/1000-1) Because there are (2003-1000), i.e.1003 integral forms multiplied, each formal is negative, i.e. the final result is negative =-(2002/2003)(2001/2002)(2000/2001)...
(1/2003-1) X (1/2002-1) X (1/2001-1) X (1/2000-1) X1/1999-1)...(1/1001-1) X (1/1000 Request (1/2003-1) X (1/2002-1) X (1/2001-1) X (1/2000-1) X1/1999-1)...(1/1001-1) X (1/1000
Original =(-2002/2003) X (-2001/2002) X (-2000/2001)...(-1000/1001) X (-999/1000)
=999/2003
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