Theorem 1 in Section 2.4 states the following: If (f) and (g) are continuous functions, then (f+g)

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Theorem 1 in Section 2.4 states the following: "If \(f\) and \(g\) are continuous functions, then \(f+g\) is continuous." Does it follow logically that if \(f\) and \(g\) are not continuous, then \(f+g\) is not continuous?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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