Solved: Show that a function F mapping D Rn into Rn is continuous at x0 D precisely
Chapter 10, Problem 12(choose chapter or problem)
Show that a function F mapping D Rn into Rn is continuous at x0 D precisely when, given any number > 0, a number > 0 can be found with property that for any vector norm , F(x) F(x0) < , whenever x D and x x0 < .
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