Question: 4. (8 points). Consider the function f (x ) = ] xarctan *#0 0 X=0 (a) Show that f(x) is continuous at x = 0.

4. (8 points). Consider the function f (x ) = ] xarctan *#0 0 X=0 (a) Show that f(x) is continuous at x = 0. (b) Show, using the definition of derivative, that f(x) is not differentiable at x = 0

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