Answered: Consider the ceiling function [z] =…

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.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

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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