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Limits of integral to find a maximum from [a,b]

  1. May 4, 2008 #1
    I am trying to prove that the Limit as p approaches infinity of {integral from 0 to 1[|f(t)|^p dt]}^(1/p) is in fact equal to the max of |f(x)| between [0,1].

    Any suggestions im sure I need to set the limit to less than or equal to and greater than or equal to the max but i dont quite know how




    3. im certian the solution is in front of my face because if i can see how to establish the limit is both less than or equal to and greater than or equal to than it would be easy but i can t see how to set the inequalities
     
  2. jcsd
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