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For the function fshown in the graph, which of the following limits is not correct? a. lim f(x) = co b. lim f(x)= -00 12 C. lim f(x) = co d. lim f(x) = 0 e. lim f(x)= 0 O Choice a. O Choice b. O Choice c. O Choice d. O Choice e.

For the function fshown in the graph, which of the following limits is not correct? a. lim f(x) = co b. lim f(x)= -00 12 C. lim f(x) = co d. lim f(x) = 0 e. lim f(x)= 0 O Choice a. O Choice b. O Choice c. O Choice d. O Choice e.

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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**Question 11:** For the function \( f \) shown in the graph, which of the following limits is not correct? a. \( \lim_{{x \to 3}} f(x) = \infty \) b. \( \lim_{{x \to 2}} f(x) = -\infty \) c. \( \lim_{{x \to -5}} f(x) = \infty \) d. \( \lim_{{x \to 0}} f(x) = 0 \) e. \( \lim_{{x \to \infty}} f(x) = 0 \) - O Choice a. - O Choice b. - O Choice c. - O Choice d. - O Choice e. **Graph Details:** The graph in the image is a plot showing the behavior of the function \( f(x) \). The function appears to have several asymptotic behaviors: - As \( x \to 3 \), the function seems to approach positive infinity, indicating a vertical asymptote at \( x = 3 \). - As \( x \to 2 \), the function seems to approach negative infinity, indicating a vertical asymptote at \( x = 2 \). - As \( x \to -5 \), the function seems to approach positive infinity, indicating a vertical asymptote at \( x = -5 \). - As \( x \to 0 \), the function appears to approach 0. - As \( x \to \infty \), the function appears to approach 0, indicating a horizontal asymptote. Based on these observations, evaluate which limit is not correct.
Transcribed Image Text:**Question 11:** For the function \( f \) shown in the graph, which of the following limits is not correct? a. \( \lim_{{x \to 3}} f(x) = \infty \) b. \( \lim_{{x \to 2}} f(x) = -\infty \) c. \( \lim_{{x \to -5}} f(x) = \infty \) d. \( \lim_{{x \to 0}} f(x) = 0 \) e. \( \lim_{{x \to \infty}} f(x) = 0 \) - O Choice a. - O Choice b. - O Choice c. - O Choice d. - O Choice e. **Graph Details:** The graph in the image is a plot showing the behavior of the function \( f(x) \). The function appears to have several asymptotic behaviors: - As \( x \to 3 \), the function seems to approach positive infinity, indicating a vertical asymptote at \( x = 3 \). - As \( x \to 2 \), the function seems to approach negative infinity, indicating a vertical asymptote at \( x = 2 \). - As \( x \to -5 \), the function seems to approach positive infinity, indicating a vertical asymptote at \( x = -5 \). - As \( x \to 0 \), the function appears to approach 0. - As \( x \to \infty \), the function appears to approach 0, indicating a horizontal asymptote. Based on these observations, evaluate which limit is not correct.
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