(1x2)分之1+(2x3)分之1+(3x4)分之1+…+(2011x2012)分之1=

问题描述:

(1x2)分之1+(2x3)分之1+(3x4)分之1+…+(2011x2012)分之1=

给个好评

(1x2)分之1+(2x3)分之1+(3x4)分之1+…+(2011x2012)分之1=1-1/2+1/2-1/3+.+1/2011-1/2012=1-1/2012=2011/2012