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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![### Tutorial Exercise
**Evaluate the limit using L'Hôpital's Rule:**
\[
\lim_{{x \to \infty}} \frac{{\ln x^5}}{{x^8}}
\]
---
**Instructions:**
1. Click on "Click here to begin!" to start the exercise.
2. If you need additional help, you can choose "Read It" for detailed instructions or "Talk to a Tutor" for one-on-one assistance.
---
#### Explanation:
To solve the given limit using L'Hôpital's Rule, we need to determine if the original limit results in an indeterminate form (like \( \frac{0}{0} \) or \( \frac{\infty}{\infty} \)). If so, we can apply L'Hôpital's Rule, which involves differentiating the numerator and the denominator until the limit can be consistently evaluated.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66c7b497-dac7-4855-b923-2e60bbc73063%2F624118f1-6974-4213-8dd4-dc4aeecd5b6e%2Fcawbs3m.jpeg&w=3840&q=75)
Transcribed Image Text:### Tutorial Exercise
**Evaluate the limit using L'Hôpital's Rule:**
\[
\lim_{{x \to \infty}} \frac{{\ln x^5}}{{x^8}}
\]
---
**Instructions:**
1. Click on "Click here to begin!" to start the exercise.
2. If you need additional help, you can choose "Read It" for detailed instructions or "Talk to a Tutor" for one-on-one assistance.
---
#### Explanation:
To solve the given limit using L'Hôpital's Rule, we need to determine if the original limit results in an indeterminate form (like \( \frac{0}{0} \) or \( \frac{\infty}{\infty} \)). If so, we can apply L'Hôpital's Rule, which involves differentiating the numerator and the denominator until the limit can be consistently evaluated.
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