Question: 4. Consider the function f(x) = x arctan(x). 4.(a). (5 points) Find a power series representation for f(x). 4.(b). (3 points) What is f(83)

4. Consider the function f(x) = x arctan(x). 4.(a). (5 points) Find a power series representation for f(x). 4.(b). (3 points) What is f(83)

4. Consider the function f(x) = x arctan(x). 4.(a). (5 points) Find a power series representation for f(x). 4.(b). (3 points) What is f(83) (0), the 83rd derivative of f(x) at x = 0?

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