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xn + 10. The Maclaurin series for a function fis given by and converges to f(x) for I x < R, where R is the radius of convergence of the Maclaurin series. Use the ratio test to find R. Write the first four nonzero terms of the Maclaurin series for f, the derivative of f. Express f' as a rational function for x I < R. Write the first four nonzero terms of the Maclaurin series for ex. Use the Maclaurin series for to write the third-degree Taylor polynomial for g(x) = ex f(x) about x = O.