1/(1/2)+1/(2*3)+1/(3*4)+...+/(2007+2008)= /是除号,*为乘号,在线等,最好有解法.1/(1/2)+1/(2*3)+1/(3*4)+.+/(2007+2008)= /是除号,*为乘号,在线等,最好有解法.

1/(1/2)+1/(2*3)+1/(3*4)+...+/(2007+2008)= /是除号,*为乘号,在线等,最好有解法.
1/(1/2)+1/(2*3)+1/(3*4)+.+/(2007+2008)= /是除号,*为乘号,在线等,最好有解法.

其实很简单,大哥或大姐
上式：S=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2007-1/2008)=1-1/2008=2007/2008