(1 pt) Consider the function f(x) = 34. We want to find the Taylor series of f(x) at x = -5. (a) The nth derivative of f (x) is f(n) (x) = At x = 5, we get f(n) (-5) = (c) The Taylor series at x = -5 is T(x) = Σ n=0 (x+5) n (d) To find the radius of convergence, we use the ratio test. An+1 L = lim = 8+←u An and so its radius of convergence is R = Enter INF if the radius is infinite. | x + 5
(1 pt) Consider the function f(x) = 34. We want to find the Taylor series of f(x) at x = -5. (a) The nth derivative of f (x) is f(n) (x) = At x = 5, we get f(n) (-5) = (c) The Taylor series at x = -5 is T(x) = Σ n=0 (x+5) n (d) To find the radius of convergence, we use the ratio test. An+1 L = lim = 8+←u An and so its radius of convergence is R = Enter INF if the radius is infinite. | x + 5
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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