∵lim(n->∞)[(1/√(4n³-n))/(1/√n³)]=lim(n->∞)[√n³/√(4n³-n)]
=lim(n->∞)[1/√(4-1/n²)]
=1/√(4-0)
=1/2
又级数∑(n=1)(1/√n³)收敛
∴级数∑(n=1)(1/√(4n³-n))收敛.