4. In each part below, give an example of a function which satisfies the given criteria. Justify that your example is correct. You should give the simplest example of which you can think. (i) A function f whose domain is (–1,1) such that lim f(x) = 3 and lim f(x) = -2. r+0- A function f whose domain is (-1,1) such that f(x) > 0 for all x € (-1,1), and (ii) lim f(x) = 0. (iii) at 0. A function f whose domain is R, such that ƒ is not continuous at 0, but fof is continuous

Calculus: Early Transcendentals
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Author:James Stewart
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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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4. In each part below, give an example of a function which satisfies the given criteria. Justify that your
example is correct. You should give the simplest example of which you can think.
(i)
A function f whose domain is (–1, 1) such that lim f(x) = 3 and lim f(x)
-2.
x+0-
A function f whose domain is (-1,1) such that f(x) > 0 for all x E (-1,1), and
(ii)
lim f(x) = 0.
(ii)
A function f whose domain is R, such that f is not continuous at 0, but fof is continuous
at 0.
Transcribed Image Text:4. In each part below, give an example of a function which satisfies the given criteria. Justify that your example is correct. You should give the simplest example of which you can think. (i) A function f whose domain is (–1, 1) such that lim f(x) = 3 and lim f(x) -2. x+0- A function f whose domain is (-1,1) such that f(x) > 0 for all x E (-1,1), and (ii) lim f(x) = 0. (ii) A function f whose domain is R, such that f is not continuous at 0, but fof is continuous at 0.
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