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.
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.
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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![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%2Fd3f7179c-96b1-4695-a12b-51405fd71168%2Fb96c571a-42ce-43b2-85f6-460bd90c82fb%2F55b944p_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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