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Homework Help: Finding a Fixed Point

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  1. Jul 5, 2016 #1
    1. The problem statement, all variables and given/known data
    upload_2016-7-5_9-47-46.png

    2. Relevant equations


    3. The attempt at a solution
    I started looking at this problem and I think I am going to have to use the intermediate value theorem for this proof, but I am not quite sure. I started looking at possible examples of these functions, but I know this is not good enough for proofs.
     
  2. jcsd
  3. Jul 5, 2016 #2

    BiGyElLoWhAt

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    Gold Member

    Last edited: Jul 5, 2016
  4. Jul 6, 2016 #3
    Check out the Banach fixed point theorem.
     
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