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Let (X, d) be a metric space, and let {Zn }nEN C X be a sequence. If zn => z E X, prove that for
Let (X, d) be a metric space, and let {Zn }nEN C X be a sequence. If zn => z E X, prove that for all x E X, d(x, Zn) + d(x, z). (1)The definition of convergence in metric d 18 : For all E yo , there exists not N such that d ( xn , * )
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