Let g be defined on JR by g(l) := 0, and g(x) := 2 if x :1: 1, and let /(x) := x + 1 for

Chapter 5, Problem 5

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Let g be defined on JR by g(l) := 0, and g(x) := 2 if x :1: 1, and let /(x) := x + 1 for all x e R. Show that lim go f :1: (go /)(0). Why doesn't this contradict Theorem 5.2.6? x-o

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