On Sun, Jan 22, 2017 at 7:14 AM, Peleg Michaeli <freepe...@gmail.com> wrote:
> Hi,
>
> sage: ((2^(2*x+1)+(2^x*x^100)^(3/2))/(4^x-100*2^x)).limit(x=infinity)
> -Infinity
>
> This is a wrong answer. It should be 2.
>
> Replacing 3/2 in the power by 1, 2, or 3 (at least) gives correct answers
> (2, inf, inf).  Replacing it by 5/2 given a wrong answer again.
>
> Is this related to a known bug?

I don't know if it is known - - you can try searching
https://trac.sagemath.org/, which lists all bugs we know of.

This is actually a bug in **MAXIMA**, which Sage calls to do this
limit: http://maxima.sourceforge.net/

If you call sympy instead it gets the right answer:

sage: ((2^(2*x+1)+(2^x*x^100)^(3/2))/(4^x-100*2^x)).limit(x=infinity,
algorithm="sympy")
2

sage: ((2^(2*x+1)+(2^x*x^100)^(3/2))/(4^x-100*2^x)).limit(x=infinity,
algorithm="maxima_taylor")
-Infinity

sage: ((2^(2*x+1)+(2^x*x^100)^(3/2))/(4^x-100*2^x)).limit(x=infinity,
algorithm="maxima")
-Infinity



>
>
> Thanks,
> Peleg.
>
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-- 
William (http://wstein.org)

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