How to find asymptotes of implicit function? How to find the asymptotes  of the implicit function $$8x^3+y^3-6xy-3=0?$$

I have seen you are interested in doing problems by Maple so, the following codes may help you machineary:
[> f:=8*x^3+y^3-6*x*y-3:
   t := solve(f = 0, y):
   m := floor(limit(t[1]/x, x = -infinity));

$$\color{blue}{m=-2}$$
[> h:=floor(limit(t[1]-m*x, x = -infinity));

$$\color{blue}{h=-1}$$
