• theEric
Hi! This is Calculus 3. I'm trying to understand linear approximation (I think). I have to find $\Delta z$, and write it in the form $dz+\epsilon _1\Delta x+\epsilon _2 \Delta y$. The example problem states that the two epsilons have limits of 0 as $(\Delta x , \Delta y) \rightarrow (0,0)$. I would appreciate knowing the significance of this! I have an equation $z=4x^2y+2x^2$, but any z is fine to work with to demonstrate how stuff works, especially if it makes it simpler! Any help, even conceptual help not related to any specific problem, would be appreciated!
Mathematics

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