1*2分子1+2*3分之1+3*4分之1+n(n+1)分之1=1-1/2+1/2-1/3+1/3-1/4……+1/n-1/(n+1)=1-1/(n+1)=(n+1-1)/(n+1)=n/(n+1)望采纳
1*2分之1+2*3分之1+3*4分之1+n(n+1)分之1=1-1/2+1/2-1/3+1/3-1/4+1/4……+1/n-1/(n+1)=1-1/(n+1)=(n+1-1)/(n+1)=n/(n+1)