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Homework Help: 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


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    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 ?
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