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Max-Min Theorem

  1. Mar 29, 2007 #1
    Hi, just trying to do some homework for college and I can't get my head around this question. It is a question to show that if you take away the condition of a function being continuous, the max-min theorem no longer holds true. Any help is greatly appreciated!

    Suppose that f: [a,b] -> R is not continuous. Show that f need not have an absolute maximum and an absolute minimum on [a,b]. (Answer in graphical form)
     
  2. jcsd
  3. Mar 29, 2007 #2

    Dick

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    Tell me about f(x)=1/(x-a) if x not equal to a and f(x)=0 if x=a. Then graph it.
     
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