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 R,(x) - 0.] ......... f(x) = x- 6x2+3, a = 2 "(2)(x - 2)" = -5+ 8(x - 2) + 18(x - 2)2 + 8(x - 2)3 + (x- 2)4 n! n = 0 "2(x- 2)" = -5 + 8(x – 2) - 8(x - 2)2 + 18(x – 2)3 – (x – 2)4 n! n = 0 "(2(x- 2)" = 5 + 8(x - 2) + 18(x - 2)2 - 8(x – 2)3 + (x - 2)4 n! n = 0 P2x- 2)" = -5 + 8(x – 2) + 8(x - 2)2 + 18(x - 2)3 + (x – 2)4 n! n = 0 OPex- 2)" = 5 – 8(x – 2) + 18(x - 2)2 + 8(x - 2)° + (x – 2)ª n! n = 0 Find the associated radius of convergence R.

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