Choose the single correct option from the given options and also explain why the rest of the options are incorrect. Please find the question in the image attached. [æ]?where : denotesLetandlimIlim= m,r0 x2greatest integer. Then,(1) l exists but m does not(2) m exists but l does not(3) both l and m exist(4) neither l nor m exists

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.1: Postulates For The Integers (optional)

Problem 28E

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Choose the single correct option from the given options and also explain why the rest of the options are incorrect. Please find the question in the image attached.

[æ]?
where : denotes
Let
and
lim
I
lim
= m,
r0 x2
greatest integer. Then,
(1) l exists but m does not
(2) m exists but l does not
(3) both l and m exist
(4) neither l nor m exists

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