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Equations that satisfy requested properties

  1. Feb 3, 2010 #1
    Can anybody think of equations that satisfy the following properties:

    1) f:(0,infinity) -> R is continuous and bounded, but f has no maximum and no minimum (that is global min and max).

    2) k:[0,infinity) -> R is continuous, but k has no maximum and no minimum (again global min and max).
  2. jcsd
  3. Feb 3, 2010 #2


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    Yes, I can think of such functions. Can you? Is this homework? What have you tried?
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