如果|ab-2|+(1-b))^2=0,求1/ab+1/(a+1)(b+1)+.+1/(a+2007)(b+2007)

来源:学生作业帮助网 编辑:作业帮 时间:2024/12/02 19:51:19
如果|ab-2|+(1-b))^2=0,求1/ab+1/(a+1)(b+1)+.+1/(a+2007)(b+2007)
xJ1@eݍdRA ~J!YS+ֻX/b^ LjBf&q],v/;W9bsf֛u ((FUj\sFN:ujdB,x(D@"+;u|sZs-m9a?!cbrZ}zc.1S=Aĺ 9}ӅvN`IIR[7pgkK [OT.5ozh/

如果|ab-2|+(1-b))^2=0,求1/ab+1/(a+1)(b+1)+.+1/(a+2007)(b+2007)
如果|ab-2|+(1-b))^2=0,求1/ab+1/(a+1)(b+1)+.+1/(a+2007)(b+2007)

如果|ab-2|+(1-b))^2=0,求1/ab+1/(a+1)(b+1)+.+1/(a+2007)(b+2007)
|ab-2|+(1-b))^2=0
ab - 2 = 0
1 - b = 0
a = 2
b = 1
代入:1/ab+1/(a+1)(b+1)+.+1/(a+2007)(b+2007)
= 1/(1*2) +1/(2*3)+1/(3*4)+...+1/(2008*2009)
= 1- 1/2009=2008/2009

|ab-2|+(1-b))^2=0 ab-2=0 1-b=0 a=2 b=1 1/ab+1/(a+1)(b+1)+......+1/(a+2007)(b+2007)=1/1*2+1/2*3+..+1/2008*2009 =1-1/2009=2008/2009