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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Find the limit using La Hopitals formula
![### Transcription for Educational Website
#### Limit Problems
**Problem 25:**
Evaluate the limit:
\[
\lim_{{x \to 0}} \frac{\sqrt{1 + 2x} - \sqrt{1 - 4x}}{x}
\]
**Problem 27:**
Evaluate the limit:
\[
\lim_{{x \to 0}} \frac{e^x - 1 - x}{x^2}
\]
These problems focus on evaluating limits, which are fundamental concepts in calculus involving the behavior of functions as they approach a specific point.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57165437-6316-4ae9-90e7-f8778c758cf5%2Fbe311163-c39f-45ce-a8d3-6b1de14e9e2e%2Fclp41xr_processed.png&w=3840&q=75)
Transcribed Image Text:### Transcription for Educational Website
#### Limit Problems
**Problem 25:**
Evaluate the limit:
\[
\lim_{{x \to 0}} \frac{\sqrt{1 + 2x} - \sqrt{1 - 4x}}{x}
\]
**Problem 27:**
Evaluate the limit:
\[
\lim_{{x \to 0}} \frac{e^x - 1 - x}{x^2}
\]
These problems focus on evaluating limits, which are fundamental concepts in calculus involving the behavior of functions as they approach a specific point.
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