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Question: 13317 1312s s 2 121 53 open and closed sets...

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:13317 1312s S- 2 121 5.3 Open and Closed Sets in Proposition 5, 17. (a) Show that a sequence (制, x)} inX is a Cauchy sequence in X if and only if {x,l} is a Cauchy sequence in Xi and {드} is a Cauchy sequence in X2. (b) Show that X is complete if and only if both X1 and X2 are complete (5) Let (X, d) be the cartesian product of the two metric spaces (XI, di) and (X2, d2) as and Closed Sets in a metric space. In an

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