This is very interesting...

Is there any wiki or documentation page on the net where it has been
published all the powerful alternatives to maxima we can adopt in
SAGE? I'm sure limit is just one of those which I wasn't aware of!

Maurizio

On Mar 13, 12:34 am, William Stein <[email protected]> wrote:
> On Thu, Mar 12, 2009 at 2:19 PM, Ondrej Certik <[email protected]> wrote:
>
> > On Thu, Mar 12, 2009 at 1:36 PM, Jose Guzman <[email protected]> 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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