(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*...(1+1/2006)*(1-1/2006)怎么简算呀?

问题描述:

(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*...(1+1/2006)*(1-1/2006)怎么简算呀?

=3/2*1/2*4/3*2/3.2007/2006*2005/2006
=1/2*2007/2006
=2007/4012