(1 pt) Consider the function f(x) = 34. We want to find the Taylor series of f(x) at x = -5. (a) The nth derivative of f (x) is f(n) (x) = At x = 5, we get f(n) (-5) = (c) The Taylor series at x = -5 is T(x) = Σ n=0 (x+5) n (d) To find the radius of convergence, we use the ratio test. An+1 L = lim = 8+←u An and so its radius of convergence is R = Enter INF if the radius is infinite. | x + 5