Suppose that and g are discontinuous at x = c. Does it follow that +

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Suppose that ƒ and g are discontinuous at x = c. Does it follow that ƒ + g is discontinuous at x = c? If not, give a counterexample. Does this contradict Theorem 1(i)?

THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 03, 2023 10:09 AM

Suppose that f (x) and g(x) are discontinuous at x = c. Does it follow that f (x) + g(x) is discontinuous at x = c? If not, give a counterexample. Does this contradict Theorem 1 (i)?
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Suppose that and g are discontinuous at x = c. Does it follow that +

Question:

THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous at x = c: (i) f + g and f- g

Step by Step Answer:

Even if f and g are discontinuous at x c it is not necessarily tr...View the full answer

Calculus

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