VI+2x — V1 — 4х 25. lim e* — 1 — х 27. lim .2

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.
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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