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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(z) = 3 and lim f(z) = -2. 0- A function f whose domain is (-1,1) such that f(z) > 0 for all z e (-1,1), and lim f(z) = 0. (iii) A function f whose domain is R, such that f is not continuous at 0, but fof is continuous at 0.

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(z) = 3 and lim f(z) = -2. 0- A function f whose domain is (-1,1) such that f(z) > 0 for all z e (-1,1), and lim f(z) = 0. (iii) A function f whose domain is R, such that f is not continuous at 0, but fof is continuous at 0.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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there is only one question so kinldy have a look and solve all parts of q4 in one hour only plz don't take too much time and take a thumb up plz
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. A function f whose domain is (-1,1) such that lim f(x) = 3 and lim f(r) = -2. A function f whose domain is (-1, 1) such that f(r) > 0 for all z e (-1, 1), and (i) -0+ (ii) lim f(r) = 0. (iii) 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. A function f whose domain is (-1,1) such that lim f(x) = 3 and lim f(r) = -2. A function f whose domain is (-1, 1) such that f(r) > 0 for all z e (-1, 1), and (i) -0+ (ii) lim f(r) = 0. (iii) 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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