Let X be a nonempty set, and let f and g be defined on X and have
Question:
Sup{f(x) + g(x) : x ∈ X} < supf{x) : x ∈ X} + sup{g(x) : x ∈ X}
and that
inf{f(x) : x ∈ X} + inf{g(x) : x ∈ X} < inf{f(x) + g(x) : x ∈ X}:
Give examples to show that each of these inequalities can be either equalities or strict
inequalities.
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
Question Posted:
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