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Re: Confusing Result with Series

• To: mathgroup at smc.vnet.net
• Subject: [mg121250] Re: Confusing Result with Series
• From: "Kevin J. McCann" <kjm at KevinMcCann.com>
• Date: Tue, 6 Sep 2011 03:56:50 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <j42aef$rm0$1@smc.vnet.net>

The outputs you see are the InputForm for the things you would like to
see. To see this, highlight the square bracket on the right of the
Out[xxx] and type ctrl-I. However, you shouldn't have to do this, unless
you modified the Stylesheet. Not sure. Perhaps one of you aforementioned
gurus has a thought on this.

Kevin

On 9/5/2011 7:05 AM, jschwab wrote:
> 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
>



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