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FORMATTING: Write your answer in the form [p(x), q(x), r(x)], including square brackets and commas between the terms. Use strict scientific calculator notation in your answer, in particular * for multiplication (e.g. 3x² is written 3*x^2, and 2(3x + 1) is written 2*(3*x+1)). Note that you should not have sqrt() in your answer. Answer: [p(x), g(x), r(x)] = 16

FORMATTING: Write your answer in the form [p(x), q(x), r(x)], including square brackets and commas between the terms. Use strict scientific calculator notation in your answer, in particular * for multiplication (e.g. 3x² is written 3*x^2, and 2(3x + 1) is written 2*(3*x+1)). Note that you should not have sqrt() in your answer. Answer: [p(x), g(x), r(x)] = 16

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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1 IX HA Knowing that lim = 0 for a > 0, we want to evaluate the following limit. a) This is an indeterminate form of the type O ∞0/∞0 0 0⁰ 00×∞ ○ 0/0 lim XXX O ∞-∞ O 1% 2+6x b) Rationalize this expression to find polynomials p(x), q(x) and r(x) such that √x² + 6x - √√x² - 7x x² AB 7x p(x) √√q(x) + √(x) FORMATTING: Write your answer in the form [p(x), q(x), r(x)], including square brackets and commas between the terms. Use strict scientific calculator notation in your answer, in particular * for multiplication (e.g. 3x² is written 3*x^2, and 2(3x + 1) is written 2*(3*x+1)). Note that you should not have sqrt() in your answer. Answer: [p(x), g(x), r(x)] = = 1 and present your answer in the form c) Simplify the expression from part (b) so that the numerator is a constant. Use the fact that C √s(x) + √(x) ' p(x) √(x) + √r(x) where C' is a constant and s(x) and t(x) don't diverge to ∞o as x increases. FORMATTING: Write your answer in the form [C, s(x), t(x)], including square brackets and commas between the terms. Use strict scientific calculator notation in your answer, in particular * for multiplication (e.g. 3x² is written 3*x^2, and 2(3x + 1) is written 2*(3*x+1)). Note that you should not have sqrt<()/b> in your answer. Answer: [C, s(x), t(x)] =
Transcribed Image Text:1 IX HA Knowing that lim = 0 for a > 0, we want to evaluate the following limit. a) This is an indeterminate form of the type O ∞0/∞0 0 0⁰ 00×∞ ○ 0/0 lim XXX O ∞-∞ O 1% 2+6x b) Rationalize this expression to find polynomials p(x), q(x) and r(x) such that √x² + 6x - √√x² - 7x x² AB 7x p(x) √√q(x) + √(x) FORMATTING: Write your answer in the form [p(x), q(x), r(x)], including square brackets and commas between the terms. Use strict scientific calculator notation in your answer, in particular * for multiplication (e.g. 3x² is written 3*x^2, and 2(3x + 1) is written 2*(3*x+1)). Note that you should not have sqrt() in your answer. Answer: [p(x), g(x), r(x)] = = 1 and present your answer in the form c) Simplify the expression from part (b) so that the numerator is a constant. Use the fact that C √s(x) + √(x) ' p(x) √(x) + √r(x) where C' is a constant and s(x) and t(x) don't diverge to ∞o as x increases. FORMATTING: Write your answer in the form [C, s(x), t(x)], including square brackets and commas between the terms. Use strict scientific calculator notation in your answer, in particular * for multiplication (e.g. 3x² is written 3*x^2, and 2(3x + 1) is written 2*(3*x+1)). Note that you should not have sqrt<()/b> in your answer. Answer: [C, s(x), t(x)] =
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