(1-2*2分之1)*(1-3*3分之1)*(1-4*4分之1)*...*(1-1999*1999分之1)
=(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*(1+1/4)*(1-1/4)*……*(1+1/1999)*(1-1/1999)
=3/2*4/3*5/4*……*2000/1999*1/2*2/3*3/4*……*1998/1999
=2000/2*1/1999
=1000/1999
(1-2*2分之1)*(1-3*3分之1)*(1-4*4分之1)*...*(1-1999*1999分之1)
=(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*(1+1/4)*(1-1/4)*……*(1+1/1999)*(1-1/1999)
=3/2*4/3*5/4*……*2000/1999*1/2*2/3*3/4*……*1998/1999
=2000/2*1/1999
=1000/1999