Dear SAGE developers,
On the other hand, we do get a correct result this way:
┌────────────────────────────────────────────────────────────────────┐
│ SageMath Version 7.1, Release Date: 2016-03-20 │
│ Type "notebook()" for the browser-based notebook interface. │
│ Type "help()" for help. │
└────────────────────────────────────────────────────────────────────┘
sage: import sympy
sage: sympy.limit((x^(1/x)-1)*sqrt(x), x, infinity)
0
sage: sympy.limit(((1/x)^x-1)/sqrt(x), x, 0, '+')
0
(If nothing else, users can be appropriately skeptical if Maxima and
SymPy are giving different answers.)
Sincerely,
Greg Marks
------------------------------------------------
| Greg Marks |
| Department of Mathematics and Computer Science |
| St. Louis University |
| St. Louis, MO 63103-2007 |
| U.S.A. |
| |
| Phone: (314)977-7206 Fax: (314)977-1452 |
| PGP encryption public key ID: 0x53F269E8 |
| Web: http://gmarks.org |
------------------------------------------------
On Saturday, April 16, 2016 at 7:39:07 PM UTC-5, Greg Marks wrote:
>
> Dear SAGE developers,
>
> Strangely, SAGE gives this incorrect result:
>
> ┌────────────────────────────────────────────────────────────────────┐
> │ SageMath Version 7.1, Release Date: 2016-03-20 │
> │ Type "notebook()" for the browser-based notebook interface. │
> │ Type "help()" for help. │
> └────────────────────────────────────────────────────────────────────┘
> 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
>
> Sincerely,
> Greg Marks
>
> ------------------------------------------------
> | Greg Marks |
> | Department of Mathematics and Computer Science |
> | St. Louis University |
> | St. Louis, MO 63103-2007 |
> | U.S.A. |
> | |
> | Phone: (314)977-7206 Fax: (314)977-1452 |
> | PGP encryption public key ID: 0x53F269E8 |
> | Web: http://gmarks.org |
> ------------------------------------------------
>
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