Suppose that F: U subset of R^n into R^m, with U open. If F is Lipshitz continuous at x in the set of U show that F is continuous at x.

Our teacher said this was trivial, but I of course cannot figure it out.

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- Sep 22nd 2009, 12:12 PMjburks100Another continuity proof
Suppose that F: U subset of R^n into R^m, with U open. If F is Lipshitz continuous at x in the set of U show that F is continuous at x.

Our teacher said this was trivial, but I of course cannot figure it out. - Sep 22nd 2009, 12:36 PMredsoxfan325