# Thread: Showing limits of multivariable functions exist

1. ## Showing limits of multivariable functions exist

This isn't a specific question related to a problem per se, but I'm trying to study for my midterm and I'm having a hard time grasping how you show a limit exists for a function of two or more variables. Disproving it I understand because you just have to find two cases where the limits from different directions don't match, but the definition given by my book on how to calculate whether a limit really does exist is confusing and written in very mathematical terms, which isn't that easy to understand as a beginner. If anyone could clarify the method used to find a limit for a function of two or more variables, that would be extremely helpful!

2. Technically speaking, to show that the limit exists, you need to show that it will always be the same, no matter what path you take.

This can often be a tedious process, so a change in variables is often welcome (e.g. converting to polars)...