Find: lim (x-√√x²+2x) I→ ∞0

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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## Question 1

**Find:**
\[
\lim_{{x \to \infty}} \left( x - \sqrt{x^2 + 2x} \right)
\]

## Explanation

This problem involves evaluating the limit of an expression as \( x \) approaches infinity. The expression inside the limit is \( x - \sqrt{x^2 + 2x} \). To solve this, consider simplifying the expression by rationalizing or using algebraic manipulation to determine its behavior as \( x \) becomes very large. 

## Question 2

(No content provided for Question 2 in the image.)
Transcribed Image Text:## Question 1 **Find:** \[ \lim_{{x \to \infty}} \left( x - \sqrt{x^2 + 2x} \right) \] ## Explanation This problem involves evaluating the limit of an expression as \( x \) approaches infinity. The expression inside the limit is \( x - \sqrt{x^2 + 2x} \). To solve this, consider simplifying the expression by rationalizing or using algebraic manipulation to determine its behavior as \( x \) becomes very large. ## Question 2 (No content provided for Question 2 in the image.)
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