Find the Taylor series for f(x) centered at the given value of a. [Assume that f...

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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 n=0 00 n=0 8 n = 0 8 1 f(n) (-1) (x n! a = -1 +1)=-7+ 3(x + 1) + 6(x + 1) - 2(x + 1) f(n) (-1) (x + 1) = 7+ 3(x + 1) + 2(x+1)26(x + 1) n! f(n)(1) (x + 1) = 7 - 3(x + 1) + 6(x + 1) + 2(x + 1) n! Of(n) (-1) (x + 1) = -7 + 6(x + 1) + 3(x + 1) - 2(x + 1) n = 0 n! Of()(-1) (x + 1) = 7 - 3(x + 1) + 2(x + 1) + 6(x + 1) =0 n! Find the associated radius of convergence R. R= Submit Answer 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 n=0 00 n=0 8 n = 0 8 1 f(n) (-1) (x n! a = -1 +1)=-7+ 3(x + 1) + 6(x + 1) - 2(x + 1) f(n) (-1) (x + 1) = 7+ 3(x + 1) + 2(x+1)26(x + 1) n! f(n)(1) (x + 1) = 7 - 3(x + 1) + 6(x + 1) + 2(x + 1) n! Of(n) (-1) (x + 1) = -7 + 6(x + 1) + 3(x + 1) - 2(x + 1) n = 0 n! Of()(-1) (x + 1) = 7 - 3(x + 1) + 2(x + 1) + 6(x + 1) =0 n! Find the associated radius of convergence R. R= Submit Answer