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1) For the function f whose graeh is given the value of each lihmit. If a limit dosent exise enter DNE limf(x) =? limfCx)- ?

1) For the function f whose graeh is given the value of each lihmit. If a limit dosent exise enter DNE limf(x) =? limfCx)- ?

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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**Exercise 1: Evaluating Limits from a Graph** For the function \( f \) whose graph is provided, determine the value of each limit. If a limit does not exist, write "DNE." ### Graph Description: - The graph is plotted on a standard Cartesian coordinate system. - The vertical axis represents the values of \( f(x) \). - The horizontal axis represents the \( x \)-values. ### Key Features: - The function appears to approach different values from the left and right of \( x = 1 \). - There is a discontinuity at \( x = 1 \). ### Limits to Determine: 1. **\(\lim_{{x \to 1^-}} f(x) =\ ? \)** - This represents the limit of \( f(x) \) as \( x \) approaches 1 from the left. 2. **\(\lim_{{x \to 1^+}} f(x) =\ ? \)** - This represents the limit of \( f(x) \) as \( x \) approaches 1 from the right. 3. **\(\lim_{{x \to 1}} f(x) =\ ? \)** - This represents the overall limit of \( f(x) \) as \( x \) approaches 1 from both sides. **Exercise 2: (Section for future content or additional problems)**
Transcribed Image Text:**Exercise 1: Evaluating Limits from a Graph** For the function \( f \) whose graph is provided, determine the value of each limit. If a limit does not exist, write "DNE." ### Graph Description: - The graph is plotted on a standard Cartesian coordinate system. - The vertical axis represents the values of \( f(x) \). - The horizontal axis represents the \( x \)-values. ### Key Features: - The function appears to approach different values from the left and right of \( x = 1 \). - There is a discontinuity at \( x = 1 \). ### Limits to Determine: 1. **\(\lim_{{x \to 1^-}} f(x) =\ ? \)** - This represents the limit of \( f(x) \) as \( x \) approaches 1 from the left. 2. **\(\lim_{{x \to 1^+}} f(x) =\ ? \)** - This represents the limit of \( f(x) \) as \( x \) approaches 1 from the right. 3. **\(\lim_{{x \to 1}} f(x) =\ ? \)** - This represents the overall limit of \( f(x) \) as \( x \) approaches 1 from both sides. **Exercise 2: (Section for future content or additional problems)**
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