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.

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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.
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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