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Homework Help: Exponential converge?

  1. Feb 26, 2008 #1
    [SOLVED] exponential converge?

    1. The problem statement, all variables and given/known data

    does the integral from 0 to infinty of exp(-x) converge - if so, is it just accepted or does it need to proven?
     
  2. jcsd
  3. Feb 26, 2008 #2
    [tex]\int_0^{\infty}e^{-x}dx[/tex] it is convergent and it needs to be proven!
    you might want to go like this, although you haven't shown your work at all!!!!

    [tex]\lim_{b \rightarrow \infty} \int_0^{b}e^{-x}dx[/tex], now can you find an antiderivative for the integrand [tex] e^{-x}[/tex]
     
  4. Feb 26, 2008 #3
    thanks - yeah, sorry i havnt shown any working- i know it converegs to 1 though.
     
  5. Feb 26, 2008 #4
    Yeah after u evaluate that limit, you will end up with 1. good job!
     
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