Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) 7xe, a = 0 Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) = 2 cos(x), a = 0 Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R, (x) 0.] cos(3x) f(x) 8 f(x) = M8 n = 0 Find the associated radius of convergence R. R= Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R, (x) +0.] f(x) = 4 cos(x), a = 57 f(x) = n = 0 Find the associated radius of convergence R. R = Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) 6x2 + 1 f(x) = Î n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)
