Use the result of Exercise 88 to prove that if g is continuous, then (x) = |g(x)|

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Use the result of Exercise 88 to prove that if g is continuous, then ƒ(x) = |g(x)| is also continuous.


Data From Exercise 88

Prove that ƒ(x) = |x| is continuous for all x. To prove continuity at x = 0, consider the one-sided limits.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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