Concept explainers
Does continuity of |f| imply continuity of f? Let
- a. Write a formula for |g(x)| .
- b. Is g continuous at x = 0? Explain.
- c. Is |g| continuous at x = 0? Explain.
- d. For any function f, if |f| is continuous at a, does it necessarily follow that f is continuous at a? Explain.
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
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