Differentiate the Taylor series centered at 0 for the following functions. b. Identify the function represented by the differentiated series. c. Give the interval of convergence of the power series for the derivative.

Find a power series for the function Select one: Σ n = 0\ 3m a. Ο Φ. Ο b. Σ(−1)" n = 0 3" 1 Σ n = 0 3" Od. ((-1)* η = 0 4" C. o X + tantilage H = 0 +4" +. tanti) +3" γ r *r* 1 Στατικο Σ +3+1 4" Sx – 15 4x + 11x - 3 centered at 0.

a. Differentiate the Taylor series centered at 0 for the following functions. b. Identify the function represented by the differentiated series. c. Give the interval of convergence of the power series for the derivative. 26. COS X 28. f(x) = sin x2

a. Differentiate the Taylor series about 0 for the function f(x) = ²x b. Identify the function represented by the differentiated series. c. Give the interval of convergence of the power series for the derivative. a. Which of the following is the derivative of the Taylor series about x = 0? O A. ∞0 k=1 Ο c. 2 Σ #3 (2)kxk-1 (k-1)! 00 xk-1 (k-1)! k=0 b. What is the function represented by the differentiated series? f(x) = 0 c. What is the interval of convergence? C S4 $ 45 % MacBook Pro Search or type URL ^ 6 & 7 ... 00 Ο Β. Σ k=0 ∞ xk OD. 2 Σ (k-1)! k=1 * xk-1 (k-1)! 8 This que 9