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
![**Question 17: Find the Limit**
Evaluate the following limit:
\[
\lim_{{x \to -5}} \frac{x + 5}{x^2 - 5x + 6x + 5}
\]
(Type an integer or a simplified fraction.)
**Show your work below:**
*Begin by simplifying the expression to find the limit as \(x\) approaches -5. Consider factoring the polynomial in the denominator or analyzing the limit behavior if the initial substitution results in an indeterminate form.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff17eecc8-d5a6-40f8-843b-f14b601b8c9d%2Ff49a5891-3eb6-4b8a-ac0f-0f140fbf1425%2Fcjsqcu7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 17: Find the Limit**
Evaluate the following limit:
\[
\lim_{{x \to -5}} \frac{x + 5}{x^2 - 5x + 6x + 5}
\]
(Type an integer or a simplified fraction.)
**Show your work below:**
*Begin by simplifying the expression to find the limit as \(x\) approaches -5. Consider factoring the polynomial in the denominator or analyzing the limit behavior if the initial substitution results in an indeterminate form.*
Expert Solution
Step 1
Factorise the denominator x2+6x+5 and cancell the common factor of numerator and denominator.
Step by step
Solved in 2 steps with 1 images
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