(1-1/2)×(1-1/3)×(1-1/4)×...×(1-1/2005)简便运算
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(1-1/2)×(1-1/3)×(1-1/4)×...×(1-1/2005)简便运算
![(1-1/2)×(1-1/3)×(1-1/4)×...×(1-1/2005)简便运算](/uploads/image/z/17347295-47-5.jpg?t=%281-1%2F2%29%C3%97%281-1%2F3%29%C3%97%281-1%2F4%29%C3%97...%C3%97%281-1%2F2005%29%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97)
/>(1-1/2)×(1-1/3)×(1-1/4)×...×(1-1/2005)
=1/2*2/3*3/4*……*2003/2004*2004/2005=1/2005
=1/2*2/3*3/4*……*2003/2004*2004/2005=1/2005