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 − 4x2 + 2, a = 2 [infinity] f n(2) n! (x − 2)n n = 0 = 2 + 16(x − 2) + 20(x − 2)2 + 8(x − 2)3 + (x − 2)4 [infinity] f n(2) n! (x − 2)n n = 0 = 2 + 16(x − 2) − 8(x − 2)2 + 20(x − 2)3 − (x − 2)4 [infinity] f n(2) n! (x − 2)n n = 0 = −2 + 16(x − 2) + 20(x − 2)2 − 8(x − 2)3 + (x − 2)4 [infinity] f n(2) n! (x − 2)n n = 0 = 2 + 16(x − 2) + 8(x − 2)2 + 20(x − 2)3 + (x − 2)4 [infinity] f n(2) n! (x − 2)n n = 0 = −2 − 16(x − 2) + 20(x − 2)2 + 8(x − 2)3 + (x − 2)4 find the associated radius of convergence r. r =