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wxMaxima: understanding ratcoef

Ran into the following behaviour from ratcoef that I don't understand, and was hoping someone could help clarify what's happening.

ratcoef(3*sqrt(x)+5/sqrt(x),x,1/2);
    > 3

as epected. However,

ratcoef(x^(3/2)+3*sqrt(x)+5/sqrt(x),x,1/2);
    > 0

and yet changing the first power from 3/2 to 3 gives:

ratcoef(x^(3)+3*sqrt(x)+5/sqrt(x),x,1/2);
    > 3

The documentation clearly says to not use ratcoef for negative coefficients, but I can't see how the limitation would explain these results. Any suggestions would be very much appreciated!


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