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Question about limits and inequalities

  1. Nov 14, 2009 #1
    If you have

    [tex]
    T < M + \epsilon,
    [/tex]

    where [itex]\epsilon > 0[/itex] is arbitrary, does this imply

    [tex]
    T \leq M?
    [/tex]
     
  2. jcsd
  3. Nov 14, 2009 #2
  4. Nov 15, 2009 #3

    Office_Shredder

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    Staff Emeritus
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    Suppose it wasn't. Let epsilon be T-M (which is positive). What do you conclude?
     
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