Consider the function f(x) = 6e8. We want to find the Taylor series of f(x) at x = -9. (a) The nth derivative of f(x) is f(n) (x) = At x=-9, we get f(n) (-9) = (c) The Taylor series at x = -9 is T(x) = +∞ n=0 (d) To find the radius of convergence, we use the ratio test. An+1 L = lim = 8+←# An and so its radius of convergence is R = Enter INF if the radius is infinite. (x+9) n x+9
Consider the function f(x) = 6e8. We want to find the Taylor series of f(x) at x = -9. (a) The nth derivative of f(x) is f(n) (x) = At x=-9, we get f(n) (-9) = (c) The Taylor series at x = -9 is T(x) = +∞ n=0 (d) To find the radius of convergence, we use the ratio test. An+1 L = lim = 8+←# An and so its radius of convergence is R = Enter INF if the radius is infinite. (x+9) n x+9
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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