如果a=2,b=1,试求1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)的值如果a=2,b=1,试求1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)的值

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如果a=2,b=1,试求1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)的值如果a=2,b=1,试求1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)的值

如果a=2,b=1,试求1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)的值如果a=2,b=1,试求1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)的值
如果a=2,b=1,试求1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)的值
如果a=2,b=1,试求1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)的值

如果a=2,b=1,试求1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)的值如果a=2,b=1,试求1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)的值
1 / ab+1/ (a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2006)(b+2006)
=1/1×2 +1/2×3 +1/3×4 +……+1/2007×2008
=1-1/2 + 1/2-1/3 +1/3-1/4 +……+ 1/2007-1/2008
=1-1/2008
=2007/2008