#953 tlimit (x*atan(x)/(x+1),x,inf) => 3 %pi/2, etc

closed
nobody
5
2007-12-26
2006-07-02
Robert Dodier
No

Maxima 5.9.3 & 5.9.3cvs:

tlimit(x*atan(x)/(x+1),x,inf) => 3 %pi/2

Should be %pi/2.

also

tlimit(x*(atan(x)-%pi/2),x,inf) => inf

Should be -1.

Discussion

  • Dan Gildea
    Dan Gildea
    2007-12-26

    • status: open --> closed
     
  • Dan Gildea
    Dan Gildea
    2007-12-26

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    Fixed in hayat.lisp rev 1.31.

    (%i9) tlimit(x*atan(x)/(x+1),x,inf);
    (%o9) %pi/2
    (%i10) tlimit(x*(atan(x)-%pi/2),x,inf);
    (%o10) -1
    (%i11) tlimit(atan(x^-1), x, 0, minus);
    (%o11) -%pi/2
    (%i12) tlimit(atan(x^-1)/x, x, 0, minus);
    (%o12) inf
    (%i13) tlimit((atan(x^-1)+%pi/2)/x, x, 0, minus);
    (%o13) -1