a. Differentiate the Taylor series about 0 for the function f(x) = e ¯3x. 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? 00 xk-1 xk - О А. -3 2 1 Σ В. (k- 1)! k = 1 (k – 1)! k= 0 (-3)kxk-1 o xk-1 O D. -3 ) Ос. 2 С. (k – 1)! (k- 1)! k= 0 k= 1

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