Find the sup and inf of the following set ∩(1 − 1/n, 2 + 1/n) where n ∈ N

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 4E: Find the smallest integer in the given set. { and for some in } { and for some in }
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Find the sup and inf of the following set

∩(1 − 1/n, 2 + 1/n) where n ∈ N

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