Let (X, d_x), (Y, d_y), (Z,d_z) be metric spaces
1. Let f: x -> Y be lipschitz continuous. show that f is continuous
2. assume that f: x -> Y and g: Y -> Z are continuous. prove that the composition mapping gf : X-> Z is continuous
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Let (X, d_x), (Y, d_y), (Z,d_z) be metric spaces
1. Let f: x -> Y be lipschitz continuous. show that f is continuous
2. assume that f: x -> Y and g: Y -> Z are continuous. prove that the composition mapping gf : X-> Z is continuous
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