Evaluate the limit lim X->00 8xナ9x 9x3-7

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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**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.
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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