4.2 Delta Epsilon Limits for Functions of Two Variables

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Jo Fawna Ebinger

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I have to admit this is the clearest definition of proving a limit I've seen so far, I don't feel like I memorized it but I understand fully where I need to go and how . Thank u

tshedisehangkhitshane

This is the only video I was able to find that actually helped me understand what we're trying to do for an epsilon–delta proof of a multivariable limit. I could understand most of what was going on right until we chose a delta, because every source I could find completely glossed over why we chose said delta; it felt like they just pulled it out of a hat and said "QED". Now I understand why we were trying to show an inequality with |f(x, y) - L| and the distance between (x0, y0) and our limit point. For some reason, there was a complete disconnect for me, and you bridged that gap. Thank you so much for making this. :)

KQVTownTheme

Hi, I'm a math student. I have to say, I really appreciate your work. Really helpful.

itsonlylevi

how can we find the second derivative of absolute value function?

Emine-riex

And this is why I'm not majoring in math and doing engineering instead.

SMW_Physicist

in 4.13 in first definition, it says: is kept close to C, what is this C? İs this wrong? also why there is writing: we need to show the gap between"f(x)" and L. Why f(x) is not f(x, y) ?

namkkemal

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