Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) 00 f(x) = Σ n = 0 X 5x2 + 1 Determine the interval of convergence. (Enter your answer using interval notation.)

Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.) x² f(x) = + 1 9x - 1 1 provided |x| < 9. n = 2

Find a power series representation for the function. 2 f(x) x9 f(x) = 2 Σ n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)