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3. (1pt) Given that the function g(x) is defined on R by x cos(1/2), if x < 0 . if x = 0. if

  

3. (1pt) Given that the function g(x) is defined on R by x cos(1/2), if x < 0 . if x = 0. if x > 0 g(x) = A sin x Find A so that g(x) is continuous at x = 0? Is g continuous on (-, 0) and on (0, )? Explain your work and justify your answer.

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