作业帮a=2,b=1,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2008)(b+2008)的值如题
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/01 18:52:18
a=2,b=1,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2008)(b+2008)的值如题
a=2,b=1,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2008)(b+2008)的值如题
a=2,b=1,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2008)(b+2008)的值如题
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2008)(b+2008) =1/2+1/(2*3)+1/(3*4)+...+1/(2010*2009) =1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010 =1-1/2010 =2009/2010