让动点(x,y)沿y=x^2(x^2-1)向(0,0)移动,lim(x^3+y^3)/(x^2+y)=lim [1/x +x^2(x^2-1)^3] =无穷重极限不存在
lim(x^3 +y^3)/(x^3 +y^2)=lim(x^3/x^3+y^2)+lim(y^3/x^3+y^2)=lim(1/(1+y^2/^3)+lim(1/(x^3/y^3+1/y))=lim(1/无穷大)+lim(1/无穷大)=0+0=0
这个极限是不存在的