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Let be a set and f, g: R. Assume max{f(x) + g(x) | x N}, max{f(x) | x}, and max{g(x) | x N} exist.
Let be a set and f, g: R. Assume max{f(x) + g(x) | x N}, max{f(x) | x}, and max{g(x) | x N} exist. (a) Show max{f(x) + g(x) | x N} max{f(x) | x N} + max{g(x) | x N}. (b) Show we can have strict inequality in (a).
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Algebra Graduate Texts In Mathematics 73
Authors: Thomas W. Hungerford
8th Edition
978-0387905181, 0387905189
