通项趋于0,且该级数时正项级数,利用达朗贝尔判别法
令Un=[2*5*8···(3n-1)]/[1*5*9···(4n-3)]
则lim【n→∞】U(n+1)/Un
=lim【n→∞】(3n+2)/(4n+1)
=3/4