a=2
b=1
1/ab+1/（a+1)(b+1)+1/(a+2)(b+2)+.1/(a+2008)(b+2008)
=1/1*2+1/2*3+1/3*4+……+1/2009*2010
=1-1/2+1/2-1/3+1/3-1/4+1/4-……-1/2009+1/2009-1/2010
=1-1/2010
=2009/2010
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2008)(b+2008)=
4个回答
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