Limits for functions of two variables

The Maxima limit command is limited (ha ha) to functions of a single variable.  We can use Maxima to approach the issue just as we do by hand computation:  reduce to single variable limits by considering that the vector variable (x,y) approaches the limit point (a,b) along paths of the form (x, y(x)).  Here’s a nice example from my Multivariable Calculus Class