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.

Solve both sub-questions (a) and (b)

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

Extracted 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.

Jun 05, 2022

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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.

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