计算:1/1x3+1/3x5+1/5x7+1/7x9+……+1/2011x2013

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计算:1/1x3+1/3x5+1/5x7+1/7x9+……+1/2011x2013

1/(1×3)+1/(3×5)+...+1/(2011×2013)
=(1/2)(1-1/3+1/3-1/5+...+1/2011-1/2013)
=(1/2)(1-1/2013)
=(1/2)(2012/2013)
=1006/2013