1/X-1/X(X+1)-1/(X+1)(X+2)-.-1/(X+2013)(X+2014)求高人解答啊.急!_数学解答

1/X-1/X(X+1)-1/(X+1)(X+2)-.-1/(X+2013)(X+2014)
求高人解答啊.急!

人气：365 ℃　时间：2020-03-19 01:10:50

解答

原式=1/X-[1/X(X+1)+1/(X+1)(X+2)+.+1/(X+2013)(X+2014)]
=1/X-[1/X-1/(X+1)+1/(X+1)-1/(X+2)+.+1/(X+2013)-1/(X+2014)]
=1/X-[1/X-1/(X+2014)]
=1/X-1/X+1/(X+2014)
=1/(X+2014)第三步没看懂求详细谢谢中间的正负抵消