问一个数学问题,很简单(初中题)(一)(后面还有).已知a=1,b=2求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+…………+1/(a+2007)(b+2007)=

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 07:08:47
问一个数学问题,很简单(初中题)(一)(后面还有).已知a=1,b=2求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+…………+1/(a+2007)(b+2007)=

问一个数学问题,很简单(初中题)(一)(后面还有).已知a=1,b=2求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+…………+1/(a+2007)(b+2007)=
问一个数学问题,很简单(初中题)(一)(后面还有).
已知a=1,b=2
求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+…………+1/(a+2007)(b+2007)=

问一个数学问题,很简单(初中题)(一)(后面还有).已知a=1,b=2求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+…………+1/(a+2007)(b+2007)=
原式=1/(1*2)+1/(2*3)+……1/(2008*2009)
=1-1/2+1/2-1/3+……+1/2008-1/2009
=1-1/2009
=2008/2009