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Exponential function

  1. Dec 9, 2009 #1
    1. The problem statement, all variables and given/known data
    Hi all

    Is infinity a minimum of the exponential function f(x)=ex or not? I personally do not think so since it is a limit, but I wanted to ask you guys to be 100% sure.
     
  2. jcsd
  3. Dec 9, 2009 #2

    Mark44

    Staff: Mentor

    You probably meant maximum, not minimum. Since infinity is not considered to be a number in the real number system, e^x does not have a maximum value.
     
  4. Dec 9, 2009 #3
    Ahh, I meant minus infinity (-inf). Sorry, my bad. But I guess that -inf is not considered a number in the real number system as well, so it is not a minimum?
     
  5. Dec 9, 2009 #4

    Mark44

    Staff: Mentor

    Right, but with regard to your original question, there is no minimum value for e^x. As x --> -infinity, e^x --> 0.
     
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