(1-1/2×1/2)×(1-1/3×1/3)×(1-1/4×1/4)×…×(1-1/2005×1/2005)
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x)057:<Hhx0 g=jX2200 Қ6IET0EΆCa5b-D\SPB5=0txp WLO2х`jm@
(1-1/2×1/2)×(1-1/3×1/3)×(1-1/4×1/4)×…×(1-1/2005×1/2005)
(1-1/2×1/2)×(1-1/3×1/3)×(1-1/4×1/4)×…×(1-1/2005×1/2005)
(1-1/2×1/2)×(1-1/3×1/3)×(1-1/4×1/4)×…×(1-1/2005×1/2005)
(1-1/2×1/2)×(1-1/3×1/3)×(1-1/4×1/4)×.×(1-1/2003×1/2003)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)……(1-1/2003)(1+1/2003)
=1/2*3/2*2/3*4/3*……*2002/2003*2004/2003
=1/2*2004/2003
=1002/2003