Answered: Sketch the graph of an example of a…

Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) - 0, lim f(x) = 1, lim f(x) = 3, f(-1) = 3, f(2) = 2 x--1* 3 2 2 2 1 -4 -4 -2

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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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Sketch the graph of an example of a function f that satisfies all of the given conditions.
lim_ f(x) = 0, lim f(x) = 1, lim f(x) = 3, f(-1) = 3, f(2) = 2
x--1-
x--1+
4
3
2
2
1
-4
2
-4
2
-4
-2
2
-4
-2
2

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