How to keep factorial representation unexpanded in taylorseries
Subject: How to keep factorial representation unexpanded in taylorseries
From: Richard Fateman
Date: Mon, 11 Sep 2006 06:36:16 -0700
I think factlim:0 means to expand all factorials. You could try another
number, like 2.
On the other hand, there is no reason to expect that those coefficients were
ever expressed as factorials. They could be computed by multiplying the
previous term by x/n, and probably were.
My recommendation is that you accomodate to the result from the computer.
That is, you can prefer the factorials, but don't expect the computer to
generate them.
RJF
> -----Original Message-----
> From: maxima-bounces at math.utexas.edu
> [mailto:maxima-bounces at math.utexas.edu] On Behalf Of Dexter
> Sent: Sunday, September 10, 2006 11:50 PM
> To: maxima at math.utexas.edu
> Subject: How to keep factorial representation
> unexpanded in taylorseries
>
> Hi,
>
> I'm trying to obtain the taylor series of e^x via function taylor()
>
> taylor(%e^x,x,0,5);
>
> the output is:
>
> 2 3 4 5
> x x x x
> (%o1)/T/ 1 + x + -- + -- + -- + --- + . . .
> 2 6 24 120
>
> but I prefer the factorials keep unexpanded, like this:
>
>
> 2 3 4 5
> x x x x
> (%o1)/T/ 1 + x + -- + -- + -- + --- + . . .
> 2! 3! 4! 5!
>
>
> setting factlim to 0 seems take no effects in this situation.
>
>
> Any suggestion?
>
>
> Dexter
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