From https://bugs.launchpad.net/ubuntu/+source/maxima/+bug/323221:
kubuntu intrepid, maxima 5.13.0
Binary package hint: maxima
(%i1) residue(%e**(1/z),z,0);
(%o1) 0
but according to the laurent series:
%e**(1/z) = 1 + 1/z + 1/2z^2 + ...
the correct result is 1.
-------
I can confirm this bug in Maxima 5.22.1.
Laurent serie with `powerseries' is correct:
(%i2) powerseries(%e^(1/z), z, 0);
inf
====
\ 1
(%o2) > -------
/ i2
==== i2! z
i2 = 0
but with `taylor':
(%i3) taylor(%e^(1/z), z, 0, 8);
1
(%o3)/T/ ------- + . . .
- 1/z
%e
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This bug is still present in Maxima 5.25.0