Re: Confusing Result with Series

*To*: mathgroup at smc.vnet.net*Subject*: [mg121258] Re: Confusing Result with Series*From*: "Dr. Wolfgang Hintze" <weh at snafu.de>*Date*: Tue, 6 Sep 2011 03:58:18 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <j42aef$rm0$1@smc.vnet.net>

Your output is the FullForm of the expected expression. Example on my system: In[6]:= Series[x/Sqrt[1 + Sqrt[x]], {x, 0, 1}] % // FullForm Out[6]= x - x^(3/2) / 2 + O[x]^2 SeriesData[x, 0, List[1, Rational[-1, 2]], 2, 4, 2] That you get the FullForm immediately is probably caused by some configuration setting (which I don't know, however). Hope this helps nevertheless. Regards, Wolfgang "jschwab" <jschwab at gmail.com> schrieb im Newsbeitrag news:j42aef$rm0$1 at smc.vnet.net... > Hi Mathematica Gurus, > > I am seeing confusing behavior with the Series command, using > Mathematica 7.0.1 on Mac OS X. > Specifically, it is not always truncating at the order I would > expect. > Here's a a simple example of the problem I'm having. > > I expect that the result of a a series expansion of > \frac{x}{\sqrt{1 + \sqrt{x}}} > to first order will be > x + O(x^{3/2}) > no matter how I write the input. > > Instead, I see the following behavior. > > In[175]:= Series[x/Sqrt[1 + Sqrt[x]], {x, 0, 1}] > Out[175]= SeriesData[x, 0, {1, Rational[-1, 2]}, 2, 4, 2] > > In[176]:= Series[Sqrt[x^2/(1 + Sqrt[x])], {x, 0, 1}] > Out[176]= SeriesData[x, 0, {1}, 2, 3, 2] > > Is this a known issue? Or some sort of expected behavior that I > haven't understood? > A naive Google search didn't reveal anything of particular relevance. > > Thanks, > Josiah >