[Maxima-bugs] [maxima:bugs] #4759 limits of gamma toward a negative integer

[Barton W. <wil...@us...>]

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**[bugs:#4759] limits of gamma toward a negative integer**

**Status:** open
**Group:** None
**Labels:** limit gamma 
**Created:** Sat Jun 06, 2026 07:09 PM UTC by Barton Willis
**Last Updated:** Sat Jun 06, 2026 07:09 PM UTC
**Owner:** nobody


Wrong--when `n` is a negative integer, this limit is undefined:
~~~
(%i1)	declare(n,integer);
(%o1)	done

(%i2)	limit(gamma(x),x,n);
(%o2)	(n-1)!
~~~
Let's assume `n` is negative:
~~~
(%i3)	assume(n < 0);
(%o3)	[n<0]

(%i4)	limit(gamma(x),x,n,plus);
(%o4)	inf
~~~

No, Maxima needs to ask if `n` is even or odd--consider:
~~~
(%i5)	limit(gamma(x),x,-5,plus);
(%o5)	minf

(%i6)	limit(gamma(x),x,-5, minus);
(%o6)	inf
~~~


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