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Math · Advanced Math
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1. What parts of the reading did you find challenging or unclear? What words did you have to look-up elsewhere? What parts would you like to understand better? What arguments were you unable to follow? 2. In the proof of the nested interval property, where do we use the hypothesis that the intervals are closed? 3. Complete the proof of part (ii) of the Archimedean property by following the suggestion that the book gives. 4. In the proof of theorem 1.4.5, we choose no large enough so that 1 2-0 Why are we certain we can find such a natural number no? 5. Let a, b E R such that a < b. Show that the open interval (0,1) has the sae cardinality as the open interval (a, b)

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