2. Consider the set A = { n+m² n2+m m eN}. : п, тEN (a) Prove that sup(A) = ∞. (b) Prove that A is bounded from below and compute the value of inf(A). Determine whether A has a minimal value.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Solve both sub-questions (a) and (b)

 

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2. Consider the set A = { n²+m
n+m²
: п, т E N
(a) Prove that sup(A) = o.
(b) Prove that A is bounded from below and compute the value of inf(A).
Determine whether A has a minimal value.
Transcribed Image Text:2. Consider the set A = { n²+m n+m² : п, т E N (a) Prove that sup(A) = o. (b) Prove that A is bounded from below and compute the value of inf(A). Determine whether A has a minimal value.
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