Solved: Let (R2, d) be the metric space whose distance d(P1, P2) between two points P1 =
Chapter 16, Problem 16.11(choose chapter or problem)
Let (R2, d) be the metric space whose distance d(P1, P2) between two points P1 = (x1, y1)and P2 = (x2, y2) in R2 is defined by d(P1, P2) = |x1 x2| + |y1 y2|, and let (R, d) bethe metric space with d(a, b) = |a b|.Verify each of the following.(a) The function f : (R2, d) (R, d) defined by f(x, y) = 12 (x y) is continuous.(b) The function g : (R2, d) (R, d) defined by g(x, y) = x is continuous.
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