若lab-2l=(a-1)*2=o求1/ab+1/(a+1)(b+1)+……+1/(a+2008)(b+2008)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/14 21:55:59

若lab-2l=(a-1)*2=o求1/ab+1/(a+1)(b+1)+……+1/(a+2008)(b+2008)
若lab-2l=(a-1)*2=o求1/ab+1/(a+1)(b+1)+……+1/(a+2008)(b+2008)

若lab-2l=(a-1)*2=o求1/ab+1/(a+1)(b+1)+……+1/(a+2008)(b+2008)
ab-2=0,ab=2 a-1=0,a=1 b=2 1/ab+1/(a+1)(b+1)+……+1/(a+2008)(b+2008) =1/1*2+1/2*3+...+1/2009*2010 =1-1/2+1/2-1/3+...+1/2009-1/2010 =1-1/2010 =2009/2010