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Determine the limit of f(x) as x approaches 2. * 51 f(x) 4- 5 4 2 -i 0 i 2 3 4 5 1- -2 3 5+ 3 1 DNE O 2 Other: 3. 2. 4.

Determine the limit of f(x) as x approaches 2. * 51 f(x) 4- 5 4 2 -i 0 i 2 3 4 5 1- -2 3 5+ 3 1 DNE O 2 Other: 3. 2. 4.

Calculus: Early Transcendentals
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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**Determine the limit of f(x) as x approaches 2.** **Graph Explanation:** The graph depicts a function \( f(x) \). Here are the key features: - The function displays a curve that increases from the left up to \( x = 2 \). - There is an open circle on the graph at the point \( (2, 1) \), indicating that the function approaches this point but does not include it. - Beyond \( x = 2 \), the graph indicates a jump to a solid point at \( (2, 3) \), but this part of the graph does not impact the limit as \( x \) approaches 2 from either direction. **Options:** - ○ 0.3 - ○ 1 - ○ DNE (Does Not Exist) - ○ 2 - ○ Other: ________ Here we aim to determine the limit as \( x \) approaches 2 from both sides of the graph. The open circle at \( (2, 1) \) suggests that the value the function approaches, but never quite reaches at this \( x \)-value, is 1. Therefore, the limit of \( f(x) \) as \( x \) approaches 2 is 1.
Transcribed Image Text:**Determine the limit of f(x) as x approaches 2.** **Graph Explanation:** The graph depicts a function \( f(x) \). Here are the key features: - The function displays a curve that increases from the left up to \( x = 2 \). - There is an open circle on the graph at the point \( (2, 1) \), indicating that the function approaches this point but does not include it. - Beyond \( x = 2 \), the graph indicates a jump to a solid point at \( (2, 3) \), but this part of the graph does not impact the limit as \( x \) approaches 2 from either direction. **Options:** - ○ 0.3 - ○ 1 - ○ DNE (Does Not Exist) - ○ 2 - ○ Other: ________ Here we aim to determine the limit as \( x \) approaches 2 from both sides of the graph. The open circle at \( (2, 1) \) suggests that the value the function approaches, but never quite reaches at this \( x \)-value, is 1. Therefore, the limit of \( f(x) \) as \( x \) approaches 2 is 1.
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