1/(1/2)+1/(2*3)+1/(3*4)+…+/(2007+2008)= /是除號,*為乘號,線上等,最好有解法. 1/(1/2)+1/(2*3)+1/(3*4)+.+/(2007+2008)= /是除號,*為乘號,線上等,最好有解法.

1/(1/2)+1/(2*3)+1/(3*4)+…+/(2007+2008)= /是除號,*為乘號,線上等,最好有解法. 1/(1/2)+1/(2*3)+1/(3*4)+.+/(2007+2008)= /是除號,*為乘號,線上等,最好有解法.

其實很簡單,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