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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