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Why they chose maximum and not minimum functions

  1. Jan 10, 2009 #1
    in every example in this article
    it uses minimum function because we need to squeeze the function
    as close as possible to the limit(example 4).

    but i got this proove that use maximum.
    http://img440.imageshack.us/img440/9160/25023372lz4.gif [Broken]

    Last edited by a moderator: May 3, 2017
  2. jcsd
  3. Jan 10, 2009 #2


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    Staff Emeritus
    Science Advisor

    It's not clear what your question is. In the first example you give, they have [itex]|x-a||x-b|< \epsilon[/itex] in order to get |x-a| only, you have to divide both sides by |x-b| "inverting it reverses the inequality. That doesn't happen in the second example- there is no reciprocal.
  4. Jan 10, 2009 #3
    when to use MAX when to use MIN ?
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