1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Exponential converge?
  1. Converge or not (Replies: 6)

Loading...