[Maxima-bugs] [maxima:bugs] #4585 Taylor polynomials involving tangent & a quotient

[David S. <tom...@us...>]

- **status**: open --> closed
- **Comment**:

Was still open



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**[bugs:#4585] Taylor polynomials involving tangent & a quotient**

**Status:** closed
**Group:** None
**Labels:** taylor 
**Created:** Wed Jul 23, 2025 08:18 PM UTC by Barton Willis
**Last Updated:** Fri Dec 19, 2025 06:01 PM UTC
**Owner:** nobody


This is, I think, OK
~~~
(%i34) taylor(tan(x)/(x-a),x,a,2);

(%o34) tan(a)/(x-a)+(tan(a)^2+1)+(tan(a)^3+tan(a))*(x-a)
                   +((3*tan(a)^4+4*tan(a)^2+1)*(x-a)^2)/3
~~~
But this is wrong: it should be more-or-less `%o34` with `%pi + 1` substituted for `a`:
~~~
(%i36) taylor(tan(x)/(x-%pi-1),x,%pi+1,2);
(%o36) 1+(x-%pi-1)^2/3
~~~


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