(1/2009-1)x(1/2008-1)x(1/2007-1)x.x(1/1001-1)x(1/1000-1)=
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(1/2009-1)x(1/2008-1)x(1/2007-1)x.x(1/1001-1)x(1/1000-1)=(1/2009-1)x(1/2008-1)x(1/2007-1)x.x(1/1001-
(1/2009-1)x(1/2008-1)x(1/2007-1)x.x(1/1001-1)x(1/1000-1)=
(1/2009-1)x(1/2008-1)x(1/2007-1)x.x(1/1001-1)x(1/1000-1)=
(1/2009-1)x(1/2008-1)x(1/2007-1)x.x(1/1001-1)x(1/1000-1)=
原式=(-2008/2009)x(-2007/2008)x(-2006/2007)x.x(-999/1000)
=999/2009