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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Question
![**Evaluate the Limit**
\[
\lim_{{x \to \infty}} \left( \frac{{8x^3 + 9x^2}}{{9x^3 - 7}} \right)
\]
This mathematical expression involves determining the limit of a rational function as \(x\) approaches infinity. The numerator of the function is \(8x^3 + 9x^2\) and the denominator is \(9x^3 - 7\). The task is to evaluate how this ratio behaves when \(x\) becomes very large.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F783cdb19-6845-49d8-b823-2520202d2285%2F946d379b-49b4-4458-b6b5-5a0b723cf370%2F7cu3w5l_processed.png&w=3840&q=75)
Transcribed Image Text:**Evaluate the Limit**
\[
\lim_{{x \to \infty}} \left( \frac{{8x^3 + 9x^2}}{{9x^3 - 7}} \right)
\]
This mathematical expression involves determining the limit of a rational function as \(x\) approaches infinity. The numerator of the function is \(8x^3 + 9x^2\) and the denominator is \(9x^3 - 7\). The task is to evaluate how this ratio behaves when \(x\) becomes very large.
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