Question: 14. Let f(x) = x2In |x], x + 0. (a) Show that f has a continuous extension g at x = 0, i.e., g(x) =

14. Let f(x) = x2In |x], x + 0. (a) Show that f has a continuous extension g at x = 0, i.e., g(x) = f(x) when x * 0 and g is continuous at x = 0. (b) Determine whether g is differentiable at x = 0 by definition

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