Does continuity of _ f _ imply continuity of f ? Let g1x2

Chapter 2, Problem 94

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Does continuity of _ f _ imply continuity of f ? Let g1x2 = e 1 if x 0 -1 if x 6 0. a. Write a formula for _ g1x2 _. 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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