(1-1/2008)*(1+1/2007)*(1-1/2006)*(1+1/2005)*(1-1/2004)*(1+1/2003)(1-1/2008)*(1+1/2007)*(1-1/2006)*(1+1/2005)*(1-1/2004)*(1+1/2003)

问题描述:

(1-1/2008)*(1+1/2007)*(1-1/2006)*(1+1/2005)*(1-1/2004)*(1+1/2003)
(1-1/2008)*(1+1/2007)*(1-1/2006)*(1+1/2005)*(1-1/2004)*(1+1/2003)

(1-1/2008)*(1+1/2007)*(1-1/2006)*(1+1/2005)*(1-1/2004)*(1+1/2003)
=(2007/2008)*(2008/2007)*(2005/2006)*(2006/2005)*(2003/2004)*(2004/2003)
=1.