adrian wrote:

> sage: limit(x*0,x=oo)
> 0

Looks right to me. Maybe you agree, I can't tell from your message.

> sage: limit(x*oo,x=0)
> 0
>
> This seems wrong to me; and probably the problem is that x*oo should
> not be allowed to begin with...

Seems wrong to me too. Since Sage calls Maxima to compute limits,
could you please report this to the Maxima bug tracker and/or mailing
list.
http://sourceforge.net/projects/maxima/bugs
http://maxima.sourceforge.net/maximalist.html

Same behavior in a recent Maxima build from CVS, ftr.

best

Robert Dodier

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