In Exercises 6062 you will establish that the matrix Df(a) of partial derivatives of the

Chapter 2, Problem 60

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In Exercises 6062 you will establish that the matrix Df(a) of partial derivatives of the component functions of f is uniquely determined by the limit equation in Definition 3.8.Let X be an open set in Rn, let a X, and let F: X Rn Rm. Show that lim xa F(x) = 0 lim xa F(x) = 0.

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