> sage: assume(x, 'real') > sage: limit((x^(1/x)-1)*sqrt(x), x=infinity) > +Infinity > sage: limit(((1/x)^x-1)/sqrt(x), x=0, dir='+') > +Infinity > > Thanks. In pure Maxima we get:
(%i3) limit((x^(1/x)-1)*sqrt(x),x,inf); (%o3) inf (%i4) limit((x^(1/x)-1)*sqrt(x),x,0); (%o4) und (%i5) limit((x^(1/x)-1)*sqrt(x),x,0,plus); (%o5) 0 (%i6) limit((x^(1/x)-1)*sqrt(x),x,0,minus); (%o6) inf >From what I understand, the first of these is wrong, maybe also the last (should it be infinity (complex infinity) instead?). Interestingly, (%i7) domain:complex; (%o7) complex (%i10) limit((x^(1/x)-1)*sqrt(x),x,0,minus); ;;; ;;; Detected access to protected memory, also kwown as 'bus or segmentation fault'. ;;; Jumping to the outermost toplevel prompt <lots of times> Segmentation fault: 11 Robert, ever seen that one? I also get this with sage: limit(((1/x)^x-1)/sqrt(x), x=0) I've reported this at http://trac.sagemath.org/ticket/20452 - not at the Maxima tracker yet, I'm afraid. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at https://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
