16.G. Give an example of a function on I = [0, 1] to R which is not bounded. 16.H. Give an example of a bounded function f on I to R which does not take on either of the numbers sup {f(x): x € I}, inf {f(x) : x € I}.
16.G. Give an example of a function on I = [0, 1] to R which is not bounded. 16.H. Give an example of a bounded function f on I to R which does not take on either of the numbers sup {f(x): x € I}, inf {f(x) : x € I}.
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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Help with exercise 16
Demonstrate the exercise in detail (Show each statement that is given)
![16.G. Give an example of a function on I = [0, 1] to R which is not bounded.
16.H. Give an example of a bounded function f on I to R which does not take
on either of the numbers
sup {f(x) : x € I},
inf {f(x): x € I}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6de8529-bcc7-4d6a-82fd-d13957834b62%2F08b302ed-29ae-45c9-b785-65956d1c64ad%2F2xkh4xh_processed.png&w=3840&q=75)
Transcribed Image Text:16.G. Give an example of a function on I = [0, 1] to R which is not bounded.
16.H. Give an example of a bounded function f on I to R which does not take
on either of the numbers
sup {f(x) : x € I},
inf {f(x): x € I}.
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