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and that there is a deleted neighborhood U of 0 su and n 2 0. Define f(x) = x -4g(x)(1 – cos x) for a where a

and that there is a deleted neighborhood U of 0 su and n 2 0. Define f(x) = x -4g(x)(1 – cos x) for a where a

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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Suppose that g has derivatives of all orders, that g(0) = g'(0) = g"(0) = 0, that g" (0) = 27, and that there is a deleted neighborhood U of 0 such that g(n) (x) # 0 whenever x E U and n > 0. Define f(x) = x4g(x)(1 – cos x) for x + 0 and f(0) = 0. Then f'(0) a 4 where a =
Transcribed Image Text:Suppose that g has derivatives of all orders, that g(0) = g'(0) = g"(0) = 0, that g" (0) = 27, and that there is a deleted neighborhood U of 0 such that g(n) (x) # 0 whenever x E U and n > 0. Define f(x) = x4g(x)(1 – cos x) for x + 0 and f(0) = 0. Then f'(0) a 4 where a =
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