Im searching for books or any other kind of references that cover theorems and techniques to prove if a limit of a multivariable function exists or not.

I know the standard methods to investigate these limits: searching paths that goes to different values, using some variations of L'Hôpital rule, testing Frechet differentiability at the point, basic algebra of continuous functions, etc...

But I dont know any reference in this topic that goes deeper than this. I would like to know something more advanced to the standard techniques and theorems, if there is some material about it.


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