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...
Related questions
Question
please provide explanation for each step
![### Determining Limits Using One-Sided Limits
#### Task Instructions
Use one-sided limits to determine whether the following limit exists and its value. If the limit does not exist, enter NA in the final answer area.
\[ \lim_{{x \to 8}} \frac{{x - 9}}{{x - 8}} \]
Enter the exact answers for the one-sided limits.
#### How to Enter \(\infty\) (Infinity) in Your Answer Field
- **In text entry mode** (when your answer field has just one line), type the word "infinity" with a lowercase 'i'.
- **In equation editor entry mode** (when your answer field has multiple lines with the equation symbol menu bar), choose the symbol \(\infty\) to enter infinity.
You can switch entry modes by clicking on the button with the uppercase Greek letter \(\Sigma\) next to the answer field.
#### One-Sided Limits to be Calculated
\[
\lim_{{x \to 8^-}} \frac{{x - 9}}{{x - 8}} \quad \boxed{\text{Answer Field}}
\]
\[
\lim_{{x \to 8^+}} \frac{{x - 9}}{{x - 8}} \quad \boxed{\text{Answer Field}}
\]
\[
\lim_{{x \to 8}} \frac{{x - 9}}{{x - 8}} = \quad \boxed{\text{Answer Field}}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdaf30f56-016e-4284-9e0e-308d7a6d7bdd%2Fceaeb5c3-0c0d-460f-856d-6c33751f9bcc%2Fca3vbua_processed.png&w=3840&q=75)
Transcribed Image Text:### Determining Limits Using One-Sided Limits
#### Task Instructions
Use one-sided limits to determine whether the following limit exists and its value. If the limit does not exist, enter NA in the final answer area.
\[ \lim_{{x \to 8}} \frac{{x - 9}}{{x - 8}} \]
Enter the exact answers for the one-sided limits.
#### How to Enter \(\infty\) (Infinity) in Your Answer Field
- **In text entry mode** (when your answer field has just one line), type the word "infinity" with a lowercase 'i'.
- **In equation editor entry mode** (when your answer field has multiple lines with the equation symbol menu bar), choose the symbol \(\infty\) to enter infinity.
You can switch entry modes by clicking on the button with the uppercase Greek letter \(\Sigma\) next to the answer field.
#### One-Sided Limits to be Calculated
\[
\lim_{{x \to 8^-}} \frac{{x - 9}}{{x - 8}} \quad \boxed{\text{Answer Field}}
\]
\[
\lim_{{x \to 8^+}} \frac{{x - 9}}{{x - 8}} \quad \boxed{\text{Answer Field}}
\]
\[
\lim_{{x \to 8}} \frac{{x - 9}}{{x - 8}} = \quad \boxed{\text{Answer Field}}
\]
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