Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = 9x − 2x3, a = −3 [infinity] f n(−3) n! (x + 3)n n = 0 = 27 − 45(x + 3) + 18(x + 3)2 − 2(x + 3)3 [infinity] f n(−3) n! (x + 3)n n = 0 = 27 − 45(x + 3) + 2(x + 3)2 − 18(x + 3)3 [infinity] f n(−3) n! (x + 3)n n = 0 = 27 + 45(x + 3) + 18(x + 3)2 + 2(x + 3)3 [infinity] f n(−3) n! (x + 3)n n = 0 = 27 − 18(x + 3) + 45(x + 3)2 − 2(x + 3)3 [infinity] f n(−3) n! (x + 3)n n = 0 = 27 + 45(x + 3) + 2(x + 3)2 + 18(x + 3)3 Find the associated radius of convergence R. R = Incorrect: Your answer is incorrect.