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!

How to calculate the convergence point for exponential function?

  1. Oct 19, 2011 #1
    1. The problem statement, all variables and given/known data

    I need to calculate the point of divergence for this exponential function :

    F(x)= 5.282 * exp ( -0.01726 * x )

    may you help me in finding the method to solve such problems ?

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 19, 2011 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    ?? In the title you say "convergence point" and in the text you say "point of divergence"? Converge as x goes to what value? If you are asking about the limit as x goes to infinity, that should be easy. "[itex]Ae^{-bx}[/itex]" is the same as [itex]A/e^{bx}[/itex]. No matter how small b is, as x goes to infinity, so does bx. And what happens to [itex]e^{bx}[/itex] as bx goes to infinity?
     
  4. Oct 19, 2011 #3
    I am sorry .. I meant in the thread text "Convergence" not "Divergence"

    I got the point.

    this function was fitting to some experimental data (Coercive force vs Temperature).

    now I have another question .. which of the following functions Converges :

    1- Root square function x^0.5
    2- 1/x
    3- x^-0.5

    if they converge .. how do we calculate their convergence point ?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: How to calculate the convergence point for exponential function?
  1. Exponential converge? (Replies: 3)

  2. Exponential function (Replies: 1)

Loading...