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(10 marks) Let X = N be the set of all positive integers and define = 1 d(x, y) - х for x,y E X. Then (X, d) is a metric
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(10 marks) Let X = N be the set of all positive integers and define = 1 d(x, y) - х for x,y E X. Then (X, d) is a metric
(10 marks) Let X = N be the set of all positive integers and define = 1 d(x, y) - х for x,y E X. Then (X, d) is a metric space (see Tutorial 4 (week 5)). (a) Show that the sequence (n) is Cauchy in (X, d). (b) Show that (X, d) is not sequentially complete.