2/x(x+2)+2/(x+2)(x+4)+...+2/(x+2004)(x+2006)_数学解答

2/x(x+2)+2/(x+2)(x+4)+...+2/(x+2004)(x+2006)

人气：304 ℃　时间：2020-04-12 15:51:37

解答

1/x - 1/(x+2006)
2/x(x+2)=1/x - 1/(x+2)
所以原式=1/x -1/(x+2) +1/(x+2)+.+1/(x+2004) -1/(x+2006)