将a=1,b=2分别代入
原式=1/(2*1)+1/(3*2)+1/(4*3)+……+1/(1997*1996)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/1996-1/1997)
=1-1/2+1/2-1/3+1/3-1/4+……+1/1996-1/1997
=1-1/1997
=1996/1997
一道初一竞赛试题若a=2,b=11/ab+1/(a+1)*(b+1)+1/(a+2)*(b+2).+1/(a+2007)
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