1/(X-1)(X-3)+1/(X-3)(X-5)+.+1/(X-2011)(X-2012)(最后一个数有问题）计算1/(X-1)(X-3)+1/(X-3)(X-5)+........+1/(X-2011)(X-2013)谢谢1/(X-1)(X-3)+1/(X-3)(X-5)+........+1/(X-2011)(X-2013) =-1/2*[1/(x-1)-1/(x-3)]-1/2*[1/(x-3)-1/(x-5)]-...........-1/2*[1/(x-2011)-1/(x-2013)] =-1/2*[1/(x-1)-1/(x-3)+1/(x-3)-1/(x-5)+...........+1/(x-2011)-1/(x-2013)] =-1/2*[1/(x-1)-1/(x-2013)] =-1/2*[(x-2013)/(x-1)(x-2013)-(x-1)/(x-2013)] =-1/2*(x-2013-x+1)/(x-2013) =-1/2*(-2012)/(x-2013) =1006/(x-2013)