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Exponential function

  • Thread starter Niles
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  • #1
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Homework Statement


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.
 

Answers and Replies

  • #2
33,508
5,193
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.
 
  • #3
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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?
 
  • #4
33,508
5,193
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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