Find the Maclaurin series of f (by any method) and its radius of convergence. Graph f and

Question:

Find the Maclaurin series of f (by any method) and its radius of convergence. Graph f and its first few Taylor polynomials on the same screen. What do you notice about the relationship between these polynomials and f?
a. f(x) = cos (x2)
b. f(x) = xe - x