Find the Taylor series for f(x) centered at the given value of a.
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) rx)-x4-3x2 + 4, a-1 Σ11(1)( Σ-1)(x-1)n =-2 + 2(x-1) + 3(x-1)2 + 4(x-1)3 + (x-1)4 x - 1)? - 2 - 2(x - 1) 3(x - 1)2 + 4(x - 1)3 + (x - 1)4 fn(1 n! n=0 fm (1 n! x - 1)n - 2 - 2(x - 1) + 4(x - 1)2 + 3(x - 1)3 +(x - 1)4 n=0 Σ-1)(x-1)n =-2-2(x-1) + 3(x-1)2-4(x-1)3 + (x-1)4 5S! n=0 Σ m1)-(x-1)n-2-2(x-1)-4(x-1)2 + 3(x-1)3-(x-1)4 n! Find the associated radius of convergence R.
