How to calculate the convergence point for exponential function?

  • Thread starter ALYAZAN
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  • #1
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Homework Statement



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 ?

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
HallsofIvy
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?? 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?
 
  • #3
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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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