Prove that if lim x0 f(c + x) = f(c) then f is continuous at c.

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Prove that if

lim_∆x→0 f(c + ∆x) = f(c)

then f is continuous at c.

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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Apr 11, 2023 10:11 AM

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Prove that if lim x0 f(c + x) = f(c) then f is continuous at c.

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To prove that f is continuous at c we need to show that lim xc fx fc Using the definition ...View the full answer

Calculus Of A Single Variable

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