23 +2,if x <0Suppose f(r) =| |x – 2|, if x >0°(a) Find lim f(x).(b) Give a simple reason why f is discontinuous at 0.- (a) Suppose f is a function with domain [a, b]. If f is an odd function, what can bededuced about a and b?(b) Give an example of an even function whose domain has exactly five elements.

As per company guidelines we are supposed to answer only one question with maximum three subparts.…

1³ +2, if r < 0 if r > 0 Suppose f(r) = ||r – 2|, (a) Find lim f(x). (b) Give a simple reason why f is discontinuous at 0. (a) Suppose f is a function with domain [a, b]. If ƒ is an odd function, what can be deduced about a and b? (b) Give an example of an even function whose domain has exactly five elements.

1³ +2, if r < 0 if r > 0 Suppose f(r) = ||r – 2|, (a) Find lim f(x). (b) Give a simple reason why f is discontinuous at 0. (a) Suppose f is a function with domain [a, b]. If ƒ is an odd function, what can be deduced about a and b? (b) Give an example of an even function whose domain has exactly five elements.

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

23 +2,
if x <0
Suppose f(r) =
| |x – 2|, if x >0°
(a) Find lim f(x).
(b) Give a simple reason why f is discontinuous at 0.
- (a) Suppose f is a function with domain [a, b]. If f is an odd function, what can be
deduced about a and b?
(b) Give an example of an even function whose domain has exactly five elements.

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