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Let (X,D)be a metric space and let A and B be subset of X.Define D(A,B)=in f{D(a,b):aA,bB} Prove that if some sequence of points in A
Let (X,D)be a metric space and let A and B be subset of X.Define D(A,B)=in f{D(a,b):aA,bB}
Prove that if some sequence of points in A converges to a point in B,then D(A,B)=0.that if some sequence of points in A converges to a point in B,then D(A,B)=0.
Hint: Proof by contradiction
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