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Consider the set S = (a+ 2b| a, be Z, a+ v2b > 0}. Prove that inf(S) = 0. Hint: One of our proofs of

Consider the set S = (a+ \\2b| a, be Z, a+ v2b > 0}. Prove that inf(S) = 0. Hint: One of our proofs of the irrationality of v2 may give an idea

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