看通项:分母可分成:n*(n+2)则有:1/(n^2+2n)=(1/2)*(1/n-1/(n+2))中间的项全消掉,则有:(1/2)*(1-1/(n+2))
1/(n^2+2n)=0.5*[1/n-1/(n+2)]故裂项求和前n项和为0.5*[1-1/(n+2)]
好难啊