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Supremums and Infimums (Introduction to Real Analysis I)

  1. Sep 20, 2008 #1
    This is the only way I knew how to get all the math symbols in one document. I hope the link works.

    Here's my questions.

    I've done all my work there on the document.

    Any help, corrections, tips, suggestions are greatly appreciated. Thank you very much!
     
  2. jcsd
  3. Sep 20, 2008 #2

    statdad

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    Homework Helper

    Most look good - think about whether [tex] 0 \in \mathbb{N} [/tex].

    As a comment: for some of the sequences you have comments like this: ''the sup is [tex] 1 [/tex] when [tex] n [/tex] is odd''

    That isn't the correct way to think about it. The range of the sequence is a set of numbers, and you are looking for the supremum of that set. If that is indeed [tex] 1 [/tex], you don't need to make any reference to the value of [tex] n [/tex] - simply say [tex] \sup \mathcal{C} = 1 [/tex]
     
  4. Sep 25, 2008 #3
    thanks!
     
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