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Homework Help: Is there an x such that e^x = 0?

  1. Jul 15, 2005 #1
    hi,
    i have a question. :uhh:

    e^x =0
    is this possible, and for what values of x if so.?
     
  2. jcsd
  3. Jul 15, 2005 #2
    No.

    If you understand the idea of limits you can say that e^x approaches 0 as x approaches negative infinity

    [tex]\lim_{\substack{x \rightarrow - \infty\\}} e^x = 0 [/tex]

    The larger and larger negative numbers you get for x, the closer and closer to zero you will get for e^x. But you can never actually get 0.

    ~Lyuokdea
     
    Last edited: Jul 15, 2005
  4. Jul 15, 2005 #3
    For more help, you can draw the graph of [itex]e^x[/itex] , the graph is an increasing function and which approaches zero and -infinity, but never equals zero.

    BJ
     
  5. Jul 15, 2005 #4
    yes i see. thank-you for your help.
     
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