Consider the ceiling function [z] = min{z € Z]z >1}. This basically rounds up any real number. For instance, [1] = 1 and [3.00001] = 4. Show that lim [r] does not exist.
Consider the ceiling function [z] = min{z € Z]z >1}. This basically rounds up any real number. For instance, [1] = 1 and [3.00001] = 4. Show that lim [r] does not exist.
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.1: Relations And Functions
Problem 75PS
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![Consider the ceiling function
[2] = min{z € Z]z > r}.
This basically rounds up any real number. For instance, [1] = 1 and [3.00001] = 4. Show
that
lim [a]
does not exist.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92647e27-1395-4f3a-bae2-9ef12a021727%2F05f9b523-cff4-4aab-b9e1-7ed394754c2d%2F89mjab9_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the ceiling function
[2] = min{z € Z]z > r}.
This basically rounds up any real number. For instance, [1] = 1 and [3.00001] = 4. Show
that
lim [a]
does not exist.
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