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Use the graph to determine whether the statement is true or false. lim f(x) exists. 2) x -> -3 A) True B) False

Use the graph to determine whether the statement is true or false. lim f(x) exists. 2) x -> -3 A) True B) False

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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**Use the graph to determine whether the statement is true or false.** 2) \(\lim_{{x \to -3}} f(x)\) exists. ![Graph Description] - The graph has a horizontal x-axis and a vertical y-axis. - The graph shows a curve with an open circle at the point \(x = -3\) on the curve, indicating a discontinuity or a hole at that location. - As \(x\) approaches \(-3\) from both directions, the left-hand limit and right-hand limit seem to approach the same y-value (approximately \(3\)) despite the discontinuity. - There is a filled point above \(x = -3\) at \((x, y) = (-3, 5)\), representing a discontinuous point. Options: A) True B) False
Transcribed Image Text:**Use the graph to determine whether the statement is true or false.** 2) \(\lim_{{x \to -3}} f(x)\) exists. ![Graph Description] - The graph has a horizontal x-axis and a vertical y-axis. - The graph shows a curve with an open circle at the point \(x = -3\) on the curve, indicating a discontinuity or a hole at that location. - As \(x\) approaches \(-3\) from both directions, the left-hand limit and right-hand limit seem to approach the same y-value (approximately \(3\)) despite the discontinuity. - There is a filled point above \(x = -3\) at \((x, y) = (-3, 5)\), representing a discontinuous point. Options: A) True B) False
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