Cute Log Series Bug
- To: mathgroup at yoda.physics.unc.edu (Mathematica User's Group)
 - Subject: Cute Log Series Bug
 - From: Keith Clay <clay at galileo.phys.washington.edu>
 - Date: Fri, 23 Jul 93 10:08:06 MDT
 
I have no idea what is happening here, but I thought I should send a copy
of this output.  Evidently there is a bug in Series or Log:
In[1]:= Series[ Log[x(1+x)], {x,0,1} ] 
                     2
Out[1]= Log[x] + O[x]                               <- WRONG!
In[2]:= Series[ Log[x(1+x)], {x,0,2} ] 
                      2
                     x        3
Out[2]= Log[x] + x - -- + O[x]                      <- Yes.  Notice the
                     2                                       Order(x) part.
In[3]:= Series[ PowerExpand[Log[x(1+x)]], {x,0,1}]
                         2
Out[3]= Log[x] + x + O[x]                           <- PowerExpand works, too.
Any explanations?  Strange, in any case.
Keith
clay at galileo.phys.washington.edu