(b) Consider the following set of real numbers: 3n² +n +3 A-3+N} CR { n³ n = :n Prove that A is bounded. (ii) Prove that inf(A) = 0. Can you replace inf by min? Justify your answer. (iii) Find sup(A) and max(A), justifying your answer in each case. [4] [4] [3]

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