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Let (X,d) be the Cartesian product of the two metric spaces (X1,d1) and (X2,d2). a) show that a...

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Advance Math

Let (X,d) be the Cartesian product of the two metric spaces(X1,d1) and(X2,d2).

a) show that a sequence{(xn1,xn2)} in X isCauchy sequence in X if and only if {xn1} isa Cauchy sequence in X1 and {xn2}is a Cauchy in X2.

b) show that X is complete if and only if both X1 andX2??????? are complete.

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