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(1 point) The function f(x) = 4x arctan(2x) is represented as a power series∑n=0^∞ cn x^n.Find the first few coefficients in the power series.c0 = 0c1 = -4/3c2 = 8/5c3 = -16/7c4 = 32/9Find the radius of convergence R of the series.R = 1/2Hint: Can you first find a power series representation of arctan(2x)? How can you then use that power series to get the power series you want?
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