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Let /(x)= 5+ 6x Compute f(1) S'(1) s"(1) s"(1) sim(1) = sm(1) We see that the first term does not fit a pattern, but we also see thatf(1) for k 2 1. Hence we see that the Taylor series for f centered at 1 is given by S«) = 11+E (x- 1).

Let /(x)= 5+ 6x Compute f(1) S'(1) s"(1) s"(1) sim(1) = sm(1) We see that the first term does not fit a pattern, but we also see thatf(1) for k 2 1. Hence we see that the Taylor series for f centered at 1 is given by S«) = 11+E (x- 1).

Calculus: Early Transcendentals
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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5 + 6x Let f(x) = Compute f(x) f(1) S'(x) S'(1) s"(x) f"(1) f"(x) = s"'(1) fim(x) = fim(1) =| fWx) = fM(1) We see that the first term does not fit a pattern, but we also see that f'W(1) =| for k 2 1. Hence we see that the Taylor series for f centered at 1 is given by 00 f(x) = 11 + E (x – 1)*. k=1
Transcribed Image Text:5 + 6x Let f(x) = Compute f(x) f(1) S'(x) S'(1) s"(x) f"(1) f"(x) = s"'(1) fim(x) = fim(1) =| fWx) = fM(1) We see that the first term does not fit a pattern, but we also see that f'W(1) =| for k 2 1. Hence we see that the Taylor series for f centered at 1 is given by 00 f(x) = 11 + E (x – 1)*. k=1
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