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Let X be an open set in R, let a E X, and let F:X C R -> Rm. Show that lim F(x)1 = 0

Let X be an open set in R", let a E X, and let F:X C R" -> Rm. Show that lim F(x)1 = 0 -> lim F(x) = 0. x-a X->a

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