第一项与倒数第一项相加,第二项与倒数第二项相加。。。[1/n+1]+[1/n+2]+....+[1/3n]=[1/n+1]+[1/3n] +[1/n+2]+[1/3n-1] +.... +[1/2n]+[1/2n+1]=(4n+1){1/(n+1)(3n) +1/(n+2)(3n-1) +....+1/(2n)(2n+1) }>(4n+1)*n*1/(2n)(2n+1)=(4n+1)/2(2n+1)=(4n+1)/(4n+2)>4n/4n+1