How to calculate double limit in Maxima?

Question

I want to calculate a double limit in Maxima. For instance,$$\lim_{(x, y)\to(0, 0)}\frac{x^3y}{x^6+y^2}$$ By the way, it is very interesting that I calculated it in "wolframalpha" yet it gave me the result $0$! I think the correct answer should be "does not exist": $$\lim_{(x, y)\to(0, 0)}\frac{x^3 y}{x^6+y^2}=\lim_{x\to0,\ y=kx^3\rightarrow0}\frac{kx^6}{x^6+k^2 x^6}=\frac{k}{1+k^2}$$Am I right? Anyway, how to do it in Maxima?
Thanks!