3. Two-part question: a. Find the Taylor series for f(x) =e" centered at the value a - 5. (Assume that f(x) has a power series expansion. Do not show that R,, (x) -> 0. ) Use a chart to show the values of n, f' (x), and f(a) = f"(5). That is, find: f(x) = (?) b. Find the associated radius of convergence R. R =