[Maxima-bugs] [ maxima-Bugs-1786431 ] limit( sqrt(x^2 + x +1) - x, x, minf) gives wrong

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Bugs item #1786431, was opened at 2007-09-01 20:58
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Category: None
Group: None
Status: Open
Resolution: None
Priority: 5
Private: No
Submitted By: Nikos Apostolakis (nikos_ap)
Assigned to: Nobody/Anonymous (nobody)
Summary: limit( sqrt(x^2 + x +1) - x, x, minf) gives wrong

Initial Comment:

(%i22) limit(sqrt(x^2 + x +1) + x, x, minf);
Is  x  positive or negative?

pos;
                                        1
(%o22)                                - -
                                        2
(%i23) limit(sqrt(x^2 + x +1) + x, x, minf);
Is  x  positive or negative?

neg;
(%o23)                               minf

If we take a limit as x -> -oo, then it should assumed 
that x is negative and no question should be asked at all.  %o22 is the right answer for the original limit, although in the given context is wrong or, rather, meaningless.  And of course %o23 is wrong.


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