Let (X, d) be a metric space. Show that the function f: X X x X defined by f(x) = (x, x) is continuous. %3D

Elementary Linear Algebra (MindTap Course List)
8th Edition
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Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...
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Let (X, d) be a metric space. Show that the function f :X X x X defined
by f(x) = (x, x) is continuous.
%3D
Transcribed Image Text:Let (X, d) be a metric space. Show that the function f :X X x X defined by f(x) = (x, x) is continuous. %3D
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