Which is the limit of f(x) as x gets closer and closer to 3 in this graph? * 5. 4 3. 1. 5 -4 3. 2 3 4 1 -2 3. :4 5- -2 O 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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**Question:**
Which is the limit of f(x) as x gets closer and closer to 3 in this graph? *

**Graph Explanation:**
The graph shown is on a coordinate plane with x-axis and y-axis ranging from -5 to 5. The function f(x) is drawn as a thick black curve.

- The graph of f(x) starts on the left, appearing to rise and fall, reaching a peak above the x-axis.
- As x approaches 3 from both the left and right sides, the curve seems to approach a horizontal position.
- At x = 3, the point on the graph appears to settle around the y-value of 2.

**Answer Choices:**
- ○ -2
- ○ 2
- ○ -1
- ○ 1

Based on the graph, the limit of f(x) as x approaches 3 appears to be 2.
Transcribed Image Text:**Question:** Which is the limit of f(x) as x gets closer and closer to 3 in this graph? * **Graph Explanation:** The graph shown is on a coordinate plane with x-axis and y-axis ranging from -5 to 5. The function f(x) is drawn as a thick black curve. - The graph of f(x) starts on the left, appearing to rise and fall, reaching a peak above the x-axis. - As x approaches 3 from both the left and right sides, the curve seems to approach a horizontal position. - At x = 3, the point on the graph appears to settle around the y-value of 2. **Answer Choices:** - ○ -2 - ○ 2 - ○ -1 - ○ 1 Based on the graph, the limit of f(x) as x approaches 3 appears to be 2.
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