15. Letf,g: R – R be continuous at a point c, and let h(x) := sup{f(x), 8(x)} for x ER. Show that h(x) =} (f(x) + g(x))
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15. Letf,g: R – R be continuous at a point c, and let h(x) := sup{f(x), 8(x)} for x ER. Show that h(x) =} (f(x) + g(x))
15. Letf,g: R – R be continuous at a point c, and let h(x) := sup{f(x), 8(x)} for x ER. Show that h(x) =} (f(x) + g(x)) +} \f(x) – 8(x)] for all xe R. Use this to show that h is continuous at c. =
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