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Using the same graph of f(x), what is lim f(x) ? X-2 1. ANL 0 2 3 2 -1- -2+ -2 doesn't exist -1

Using the same graph of f(x), what is lim f(x) ? X-2 1. ANL 0 2 3 2 -1- -2+ -2 doesn't exist -1

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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**Problem:** Using the same graph of \( f(x) \), what is \( \lim_{{x \to 2}} f(x) \)? **Graph Description:** - The graph of \( f(x) \) is plotted on a Cartesian plane with the x-axis ranging from 0 to 5 and the y-axis ranging from -2 to 2. - The graph has the following key features: - It starts above the x-axis at \( (0, 2) \). - It decreases and crosses the x-axis around \( x = 1 \). - Continues downward reaching a low point before \( x = 2 \). - Between \( x = 2 \) and \( x = 3 \), the graph increases to form a peak. - The graph then decreases and passes through a minimum point at \( x = 4 \). - There is an open circle at \( (4, 0) \) and a solid dot above it. **Choices:** - \(\circ\) -2 - \(\circ\) 0 - \(\circ\) doesn't exist - \(\circ\) -1 - \(\circ\) 2 The task is to determine the limit of \( f(x) \) as \( x \) approaches 2. The given points, shifts, and behavior of the graph must be analyzed to find this limit.
Transcribed Image Text:**Problem:** Using the same graph of \( f(x) \), what is \( \lim_{{x \to 2}} f(x) \)? **Graph Description:** - The graph of \( f(x) \) is plotted on a Cartesian plane with the x-axis ranging from 0 to 5 and the y-axis ranging from -2 to 2. - The graph has the following key features: - It starts above the x-axis at \( (0, 2) \). - It decreases and crosses the x-axis around \( x = 1 \). - Continues downward reaching a low point before \( x = 2 \). - Between \( x = 2 \) and \( x = 3 \), the graph increases to form a peak. - The graph then decreases and passes through a minimum point at \( x = 4 \). - There is an open circle at \( (4, 0) \) and a solid dot above it. **Choices:** - \(\circ\) -2 - \(\circ\) 0 - \(\circ\) doesn't exist - \(\circ\) -1 - \(\circ\) 2 The task is to determine the limit of \( f(x) \) as \( x \) approaches 2. The given points, shifts, and behavior of the graph must be analyzed to find this limit.
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