已知:字母a、b满足√(a-1)+√(b-2)=0,求:

问题描述:

已知:字母a、b满足√(a-1)+√(b-2)=0,求:
1/(ab)+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2011)(b+2011)的值

∵√(a-1)+√(b-2)=0∴a-1=0b-2=0∴a=1 b=21/(ab)+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2011)(b+2011)=1/1×2+1/2×3+1/3×4+1/4×5+……+1/2012×2013=1-1/2+1/2-1/3+1/3-1/4+……+1/2012-1/2...