Let a < b < c. Suppose that f is continuous on [a, b), that g is continuous on [b, c)
Chapter 5, Problem 3(choose chapter or problem)
Let a < b < c. Suppose that f is continuous on [a, b), that g is continuous on [b, c), and that /(b) = g(b). Define h on [a, c) by h(x) := /(x) for x e [a, b) and h(x) := g(x) for x e (b, c). Prove that his continuous on [a, c).
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