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Consider the function f(x)=xarctan(1/x) if x≠ 0 ,0 if x = 0. (1) Using the defnition...


Consider the function f(x)=xarctan(1/x) if x≠ 0 ,0 if x = 0. (1) Using the defnition of continuity at a point you studied in Calculus 1 check whether f(x) is continuous at x = 0. (2) Using the limit defnition of differentiability at a point check whether f'(0) exists.

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