Finding the equation of a function if

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I am trying to find a function with the following info:

1. Horizontal asymptote at 'a' where a > 0.
2. Function passes through origin (0,0).

is it even possible to find the equation of this function with this info?!

Any help is appreciated...
 
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Never mind problem is solved... :)
 
Really? Because it is impossible: there are infinitely many such functions.
 
You can, of course, find the "simplest" rational function having those properties. Was that the problem?
 
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