For each function, determine the long run behavior x3 + 1 has no horizontal asymptote x2 + 2 x2 + 1 has a horizontal asymptote of y=0 v x2 + 2 + 1 has a horizontal asymptote of y=1 x3 + 2

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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For each function, determine the long run behavior:

1. \(\frac{x^3 + 1}{x^2 + 2}\) has [no horizontal asymptote]

2. \(\frac{x^2 + 1}{x^2 + 2}\) has [a horizontal asymptote of \(y = 1\)]

3. \(\frac{x^2 + 1}{x^3 + 2}\) has [a horizontal asymptote of \(y = 0\)]
Transcribed Image Text:For each function, determine the long run behavior: 1. \(\frac{x^3 + 1}{x^2 + 2}\) has [no horizontal asymptote] 2. \(\frac{x^2 + 1}{x^2 + 2}\) has [a horizontal asymptote of \(y = 1\)] 3. \(\frac{x^2 + 1}{x^3 + 2}\) has [a horizontal asymptote of \(y = 0\)]
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