> > sympy, too, finds the limit despite not recognizing the identity: > … > expr = 27**(log(x,3)/x**3) > > expr, limit(expr, x, oo) > > Your expression has "1/x^3" in its exponent. The expression from the orginal post would be 27**(log(x,3))/x**3, which SymPy correctly simplifies and finds the correct limit for: >>> simplify(27**(log(x,3))/x**3) Integer(1) >>> limit(27**(log(x,3))/x**3,x,oo) Integer(1)
Other examples of wrong limits with logarithm in exponent in Sage: lim((((27**(log(n,3))))/n**3),n=infinity) returns 0 (Wolfram Alpha <http://www.wolframalpha.com/input/?i=lim%28%28%28%2827**%28log_3%28n%29%29%29%29%2Fn**3%29%2Cn%3Dinfinity%29> and Maple return 1). lim((((27**(log(n,3)+1)))/n**3),n=infinity) returns 0 (Wolfram Alpha <http://www.wolframalpha.com/input/?i=lim%28%28%28%2827**%28log_3%28n%29%2B1%29%29%29%2Fn**3%29%2Cn%3Dinfinity%29> and Maple return 27). lim(((27**(log(n,3)+1)-1)/26+n-log(n,3)-1)/n**3,n=infinity) returns 0 (Wolfram Alpha <http://www.wolframalpha.com/input/?i=limit%28%28%2827**%28log3%28n%29%2B1%29-1%29%2F26%2Bn-log3%28n%29-1%29%2Fn**3%2Cn%2Coo%29> and Maple return 27/26). Using SageMathVersion6.7, ReleaseDate:2015−05−17. (SymPy has issues with these limits too, albeit different ones. I've reported them here <https://github.com/sympy/sympy/issues/9471>.) -- 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 http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
