Find the Taylor series for f(x) centered at the given value of a. (Assume that / has a power series expansion. Do not show that R,(x) 0.] F(x) = x - 4x2 + 5, a = 2 anmi Σ O "(2(x- 2)" = 5 + 16(x - 2) + 20(x- 2)² + 8(x - 2)3 + (x - 2)4 n! O "(2x-2)" = 5+ 16(x- 2)- 8(x- 2)² + 20(x – 2)3 - (x - 2)4 f"(2)(x-2)" = 5 + 16(x - 2) + 8(x - 2)2 + 20(x – 2)3 + (x – 2)4 00 "(2)(x- 2)" = -5 + 16(x- 2) + 20(x – 2)² - 8(x - 2)3 + (x - 2)4 8(x - 2) + (x - 2) Pe(x- 2)" = -5 - 16(x - 2) + 20(x – 2)2 + 8(x - 2) + (x - 2)4 n! Find the associated radius of convergence R. Submit Answer Type here to search 18

Q: Find Taylor series for function f(x) =lnx centered at a=1

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A:

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