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lim √3x²+6 5- 2x

lim √3x²+6 5- 2x

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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Please show EVERY step to solve the problem. Question: Evaluate the following limit.
The image shows a mathematical limit expression which is written as follows: \[ \lim_{{x \to \infty}} \frac{\sqrt{3x^2 + 6}}{5 - 2x} \] This expression represents the limit as \( x \) approaches infinity for the given function. The numerator of the function is the square root of \( 3x^2 + 6 \), and the denominator is \( 5 - 2x \). To evaluate this limit, one common technique is to divide the numerator and the denominator by the highest power of \( x \) in the denominator which is \( x \). After manipulation, the limit can be analyzed to determine its behavior as \( x \) grows without bound.
Transcribed Image Text:The image shows a mathematical limit expression which is written as follows: \[ \lim_{{x \to \infty}} \frac{\sqrt{3x^2 + 6}}{5 - 2x} \] This expression represents the limit as \( x \) approaches infinity for the given function. The numerator of the function is the square root of \( 3x^2 + 6 \), and the denominator is \( 5 - 2x \). To evaluate this limit, one common technique is to divide the numerator and the denominator by the highest power of \( x \) in the denominator which is \( x \). After manipulation, the limit can be analyzed to determine its behavior as \( x \) grows without bound.
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