So say I have an arbitrary function and I want to know it's limit as x,y approaches 0.(adsbygoogle = window.adsbygoogle || []).push({});

I could test what happens when the x axis approaches 0, y axis as it approaches 0 but there are some functions where I'm told that I also need to test what happens when y=mx approaches 0, and then y=x^2 and x=y^2 and I'm quite confused as to how we know what lines to approach 0 on and what functions those lines are in 3D and how ones works that out. I've basically lost any form of intuition here.

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# Finding limits in 3D. How do you know on what line to approach?

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