[Maxima-bugs] [ maxima-Bugs-902757 ] taylor(x,[x],inf,...) garbage

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Bugs item #902757, was opened at 2004-02-23 10:52
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Category: None
Group: None
Status: Open
Resolution: None
Priority: 5
Submitted By: Stavros Macrakis (macrakis)
Assigned to: Nobody/Anonymous (nobody)
Summary: taylor(x,[x],inf,...) garbage

Initial Comment:
taylor(x,[x],inf,1) => (inf^2+1)/inf-1/(x*inf^2)+... ???
taylor(x,[x],[inf],1) => same thing

but variants all work:

taylor(x,x,inf,1) => x+... OK
taylor(x,[x,inf,1]) => x+... OK

taylor(x,[x],0,1) => x+... OK
taylor(x,[x],[0],1) => x+... OK
taylor(x,x,q,1) => q+(x-q)+... OK
taylor(x,[x],q,1) => q+(x-q)+... OK
taylor(x,[x],[q],1) => q+(x-q)+... OK

The original failure was of course in a more realistic 
case, with more than one variable:

taylor(atan(x^2+y^2),[x,y],inf,4) => error
  should be %pi/2-1/(y^2+x^2)+...

but

taylor(atan(x^-2+y^-2),[x,y],0,2) =>
  %pi/2-y^2*x^2/(x^2+y^2)+...


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