On Thu, Mar 12, 2009 at 2:19 PM, Ondrej Certik <ond...@certik.cz> wrote:
>
> On Thu, Mar 12, 2009 at 1:36 PM, Jose Guzman <n...@neurohost.org> wrote:
>>
>> Dear colleagues,
>>
>> I've just discovered this wonderful thing called Sage (I am a completely
>> newbie, my apologizes in advance...), and I have to admit that I am
>> impressed with Sage!!!. I started yesterday, and came along the tutorial
>> already. I still miss some more documentation...specially related with
>> worksheet use/configuration (I did not find any other way to combine
>> LaTeX, html and sage to create nice worksheets like the ones I saw
>> today. I simply start a cell with %htmlo %latex or %sage).
>>
>> Anyway, I was playing around with the limits, and after checking the
>> short tutorial
>> (http://sage.math.washington.edu/home/elliottd/calctut/limits.html) I
>> wanted to try something by myself. I found the following inconvenience.
>>
>>
>> sage: g=9.81
>> sage: t=var('t')
>> sage: limit(2*g*(t^2-1)/(t-1),t=1)
>> >>> gives me 39
>>
>> However, if I simplify the equation and calculate the limit...
>> sage: limit(2*g*(t+1),t=1)
>> >> gives me the good value 39.276
>
> I think the good value should actually be:
>
> In [4]: limit(2*g*(t**2-1)/(t-1), t, 1)
> Out[4]: 39.24
And here is how one can get the above entirely in Sage using a modern
symbolic manipulation library called sympy that's included in Sage :-)
teragon:sage-3.4.alpha0 wstein$ sage
----------------------------------------------------------------------
| Sage Version 3.4, Release Date: 2009-03-11 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
sage: g=9.81
sage: import sympy
sage: t = sympy.var('t')
sage: sympy.limit(2*g*(t^2-1)/(t-1),t,1)
39.2400000000000
William
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