3. If f(0) (n + 1)! for n = 0, 1, 2, ..., find the Maclaurin = series for f and its radius of convergence. 5-12 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) convergence. 5. f(x) = (1-x)-2 7. f(x) = sin TX 0.] Also find the associated radius of = 6. f(x) In(1 + x) 8. f(x) = ex 1. (a) Find the Taylor polynomials up to degree 6 for f(x) = cos x centered at a = 0. Graph f and these polynomials on a common screen.