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Exercise 11: Consider the following functions: x -1 2 1 1 S9(x), h(x), otherwise. g(x) h(x) = f (x) x21 (a) Show that limg1 f(x) does not exist. Remark: A good, convincing, intuitive explanation, possibly with a couple graphs to help visualize, will receive full points. However, being able to write a full proof would be good. (b) For which values of c ER does lim>c f(x) exist?

Exercise 11: Consider the following functions: x -1 2 1 1 S9(x), h(x), otherwise. g(x) h(x) = f (x) x21 (a) Show that limg1 f(x) does not exist. Remark: A good, convincing, intuitive explanation, possibly with a couple graphs to help visualize, will receive full points. However, being able to write a full proof would be good. (b) For which values of c ER does lim>c f(x) exist?

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 11: Consider the following functions: x -1 2 1 1 S9(x), h(x), otherwise. g(x) h(x) = f (x) x21 (a) Show that limg1 f(x) does not exist. Remark: A good, convincing, intuitive explanation, possibly with a couple graphs to help visualize, will receive full points. However, being able to write a full proof would be good. (b) For which values of c ER does lim>c f(x) exist?
Transcribed Image Text:Exercise 11: Consider the following functions: x -1 2 1 1 S9(x), h(x), otherwise. g(x) h(x) = f (x) x21 (a) Show that limg1 f(x) does not exist. Remark: A good, convincing, intuitive explanation, possibly with a couple graphs to help visualize, will receive full points. However, being able to write a full proof would be good. (b) For which values of c ER does lim>c f(x) exist?
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