lim[√(x^3)-1]/(x-1),x→1
令√x=a,则
既是求lim[a^3-1]/(a^2-1),a→1
=lim[(a-1)(a^2+a+1)]/[(a+1)(a-1)],a→1
=lim(a^2+a+1)/(a+1),a→1
=3/2