After 6 years I still don't understand this

You stated a few yourself.

As far as I know, I haven't. :O

I'll even add in a bonus. Here is the plot of f(x,y) = x^y



The point (0,0) is clearly on 1.

From that graph, we can only see that its limit goes towards 1. However, we cannot see or evaluate its actual value by the graph itself.

A plot of the function 0^(x^2) would say its limit goes towards 0. Same rule applies here.

Noah