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) = x4 − 2x2 + 1, a = 2 ∞ f n(2) n! (x − 2)n n = 0 = 24 + 9(x − 2) + 22(x − 2)2 + 8(x − 2)3 + (x − 2)4 ∞ f n(2) n! (x − 2)n n = 0 = −9 + 24(x − 2) + 22(x − 2)2 + 8(x − 2)3 + (x − 2)4 ∞ f n(2) n! (x − 2)n n = 0 = 24 + 9(x − 2) + 8(x − 2)2 + 22(x − 2)3 + (x − 2)4 ∞ f n(2) n! (x − 2)n n = 0 = 9 + 24(x − 2) + 22(x − 2)2 + 8(x − 2)3 + (x − 2)4 ∞ f n(2) n! (x − 2)n n = 0 = 9 + 24(x − 2) + 8(x − 2)2 + 22(x − 2)3 + (x − 2)4