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Mathematics, 31.12.2019 06:31 elizabethburkha

Let s βŠ† r be nonempty. prove that if a number u in r has the properties: (i) for every n ∈ n the number u βˆ’ 1/n is not an upper bound of s, and (ii) for every number n ∈ n the number u + 1/n is an upper bound of s, then u = sup s.

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Let s βŠ† r be nonempty. prove that if a number u in r has the properties: (i) for every n ∈ n the nu...
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