Let As; B s; R, let f: B ~Rand let g be the restriction off to A (that is, g(x) = /(x)
Chapter 5, Problem 9(choose chapter or problem)
Let As; B s; R, let f: B ~Rand let g be the restriction off to A (that is, g(x) = /(x) for x e A). (a) Iff is continuous at c e A, show that g is continuous at c. (b) Show by example that if g is continuous at c, it need not follow that f is continuous at c.
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