列式:
2003*(1-1/2)*(1-1/3)*(1-1/4)…*(1-1/2003)
=2003*1/2*2/3*3/4……*2002/2003
=2003/2003
=1
或
2003×(1/2)×(2/3)×.×(2002/2003)
=2003×(2002/2003)×(2001/2002).×(1/2)
=2002×(2001/2002)...
=2001..
=2×(1/2)
=1
列式:
2003*(1-1/2)*(1-1/3)*(1-1/4)…*(1-1/2003)
=2003*1/2*2/3*3/4……*2002/2003
=2003/2003
=1
或
2003×(1/2)×(2/3)×.×(2002/2003)
=2003×(2002/2003)×(2001/2002).×(1/2)
=2002×(2001/2002)...
=2001..
=2×(1/2)
=1