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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Someone please please explain! I don't know how to do any of this.
![**Problem 4: Finding a Limit Using L'Hôpital's Rule**
Use L'Hôpital's Rule to find the limit:
\[
\lim_{{x \to 0}} \frac{e^{2x} - 1}{x}
\]
**Explanation:**
This problem requires applying L'Hôpital's Rule, which is used for indeterminate forms like \(\frac{0}{0}\) or \(\frac{\infty}{\infty}\). We aim to find the limit of the function \(\frac{e^{2x} - 1}{x}\) as \(x\) approaches 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1abe756-3564-4e94-aa7f-e51ff42209d7%2F1fcc68be-9bb1-4b39-818e-4bc1c93951e1%2Ful7bkqo_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 4: Finding a Limit Using L'Hôpital's Rule**
Use L'Hôpital's Rule to find the limit:
\[
\lim_{{x \to 0}} \frac{e^{2x} - 1}{x}
\]
**Explanation:**
This problem requires applying L'Hôpital's Rule, which is used for indeterminate forms like \(\frac{0}{0}\) or \(\frac{\infty}{\infty}\). We aim to find the limit of the function \(\frac{e^{2x} - 1}{x}\) as \(x\) approaches 0.
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