3x²+6 lim *+-∞ 5-2x

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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Please show EVERY step. Question: Evaluate each of the following limit.
The image presents a mathematical limit expression. The limit expression can be transcribed as follows:

\[
\lim_{{x \to -\infty}} \frac{{\sqrt{3x^2 + 6}}}{{5 - 2x}}
\]

This expression describes the behavior of the function \( \frac{{\sqrt{3x^2 + 6}}}{{5 - 2x}} \) as \( x \) approaches negative infinity. Here, \( \sqrt{} \) denotes the square root, indicating that the numerator involves the square root of the quadratic expression \( 3x^2 + 6 \). The denominator is the linear expression \( 5 - 2x \).
Transcribed Image Text:The image presents a mathematical limit expression. The limit expression can be transcribed as follows: \[ \lim_{{x \to -\infty}} \frac{{\sqrt{3x^2 + 6}}}{{5 - 2x}} \] This expression describes the behavior of the function \( \frac{{\sqrt{3x^2 + 6}}}{{5 - 2x}} \) as \( x \) approaches negative infinity. Here, \( \sqrt{} \) denotes the square root, indicating that the numerator involves the square root of the quadratic expression \( 3x^2 + 6 \). The denominator is the linear expression \( 5 - 2x \).
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