简便计算(1+2/5)*(1-2/5)*(1+2/7)*(1-2/7)*.*(1+2/2005)*(1-2/2005)

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简便计算(1+2/5)*(1-2/5)*(1+2/7)*(1-2/7)*.*(1+2/2005)*(1-2/2005)
简便计算(1+2/5)*(1-2/5)*(1+2/7)*(1-2/7)*.*(1+2/2005)*(1-2/2005)

简便计算(1+2/5)*(1-2/5)*(1+2/7)*(1-2/7)*.*(1+2/2005)*(1-2/2005)
(1+2/5)*(1-2/5)*(1+2/7)*(1-2/7)*.*(1+2/2005)*(1-2/2005)
=7/5*3/5*9/7*5/7*...*2007/2005*2003/2005
=(7/5*9/7*...*2007/2005)*(3/5*5/7*...*2003/2005)
=2007/5*3/2005
=6021/10025