Considering a rational function, as for example
I would like to have a function that tells me the leading order behavior of
myExpr under limits to infinity or to zero. Note that I am not interested in explicit coefficients and would like to save computational resources. All I need the function to return is:
I know there is a built in function that does this for polynomials
Exponent[myPoly,x] when considering a limit to infinity. So I wonder if this can be done computationally efficiently for rational functions? Thanks for any suggestion.