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
Find the limit of the attached problem using L’Hopital’s Rule
![The image shows a mathematical expression for finding the limit of a rational function as \( x \) approaches -2. The expression is:
\[
\lim_{{x \to -2}} \frac{x^2 + 2x + 1}{x^2 + x + 1}
\]
This indicates that the limit involves a quadratic numerator and a quadratic denominator. In solving such limits, one often considers simplifying the expression by factoring or using L'Hôpital's rule if the function is indeterminate at that point.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94d9d6f7-b157-403a-851b-79bd19c538db%2Fdfd65c6e-9367-4491-87a5-33cfe7269e6d%2Fo0l5wg4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image shows a mathematical expression for finding the limit of a rational function as \( x \) approaches -2. The expression is:
\[
\lim_{{x \to -2}} \frac{x^2 + 2x + 1}{x^2 + x + 1}
\]
This indicates that the limit involves a quadratic numerator and a quadratic denominator. In solving such limits, one often considers simplifying the expression by factoring or using L'Hôpital's rule if the function is indeterminate at that point.
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