1/((x-1)*(x-2))+1/((x-2)*(x-3))+1/((x-3)*(x-4)).+1/((x+2006)*(x-2_数学解答

1/((x-1)*(x-2))+1/((x-2)*(x-3))+1/((x-3)*(x-4)).+1/((x+2006)*(x-2007))
很难,难于上青天!
提示：是(x-1)*(x-2)分之一加上.,.是省略号,有关分式加减的

人气：151 ℃　时间：2020-04-04 11:45:00

解答

1/(x-1)(x-2)=1/(x-2)-1/(x-1)同理1/(x-2)(x-3)=1/(x-3)-1/(x-2)1/(x-3)(x-4)=1/(x-4)-1/(x-3).1/(x-2006)(x-2007)=1/(x-2007)-1/(x-2006)1/((x-1)*(x-2))+1/((x-2)*(x-3))+1/((x-3)*(x-4)).+1/((x+2006)*(x-2007))=...