How to calculate the convergence point for exponential function?

[ALYAZAN]

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

 

[HallsofIvy]

?? 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. "Ae^{-bx}" is the same as A/e^{bx}. No matter how small b is, as x goes to infinity, so does bx. And what happens to e^{bx} as bx goes to infinity?

 

[ALYAZAN]

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 ?