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Each of Exercises $63-66$ gives a function $f(x, y, z)$ and a positive number $\epsilon .$ In each exercise, show that there exists a $\delta>0$ such that for all $(x, y, z)$ ,$$\quad \sqrt{x^{2}+y^{2}+z^{2}}<\delta \Rightarrow|f(x, y, z)-f(0,0,0)|<\epsilon$$$$f(x, y, z)=x y z, \quad \epsilon=0.008$$
$\epsilon=0.008$
Calculus 3
Calculus 1 / AB
Chapter 14
Partial Derivatives
Section 2
Limits and Continuity in Higher Dimensions
Applications of the Derivative
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it is given that f o x com Abiko Matzzie, This equals two x into my embassy lead. Delta is equals to zero point toe. Then X motor, smaller than Delta by mode, is also smaller than data on Z mode is also smaller than data. We get a four x com Abiko matzzie minus a 40 comma. Zero comma zero whole mode is equal to a four x comma by commas e minus zero. Hold more. It would be equals toe extent to buy into the mode be good x mode and to bi mode and to see more, which is smaller than zero point to hold. But simplifying it we get 0.8 which is equals to absolutely does. The solution is absolutely as equals to 0.8 This is the final answer.
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