Question: a. Use any analytical method to find the first four nonzero terms of the Taylor series centered at 0 for the following function. You do

a. Use any analytical method to find the first four nonzeroterms of the Taylor series centered at 0 for the following function.

You do not need to use the definition of the Taylor seriescoefficients. b. If possible, determine the radius of convergence of the series.

a. Use any analytical method to find the first four nonzero terms of the Taylor series centered at 0 for the following function. You do not need to use the definition of the Taylor series coefficients. b. If possible, determine the radius of convergence of the series. f(x) = cos (4x) + 3sin xDetermine the radius and interval of convergence of the following power series. 5 X7 9 X11 X ++ X 4 9 16

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