Let (X, d) be a metric space.(a) Define d1(x, y) = d(x, y)/[1 + d(x, y)]. Prove that d1
Chapter 16, Problem 16.6(choose chapter or problem)
Let (X, d) be a metric space.(a) Define d1(x, y) = d(x, y)/[1 + d(x, y)]. Prove that d1 is a metric for X.(b) Define d2(x, y) = min{1, d(x, y)}. Prove that d2 is a metric for X.
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