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Re: Series[log[x], {x, 0, 3}]

From DrMajorBob <btreat1@austin.rr.com>
Newsgroups comp.soft-sys.math.mathematica
Subject Re: Series[log[x], {x, 0, 3}]
Date 2011-05-22 10:53 +0000
Organization Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID <iraq06$llg$1@smc.vnet.net> (permalink)

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The function is called Log. (ALL Mathematica built-ins start with capital  
letters.)

Log has a singularity at 0, so you'd have to expand around some other  
point, such as 1:

Series[Log@x, {x, 1, 3}]

(x-1)-1/2 (x-1)^2+1/3 (x-1)^3+O[x-1]^4

Bobby

On Sat, 21 May 2011 05:44:59 -0500, Hongyi Zhao <hszhao.cn@gmail.com>  
wrote:

> Hi all,
>
> I do the following computation within Mathematica:
>
> Series[log[x], {x, 0, 3}]
>
> Then I get:
>
> log[0]+(log^\[Prime])[0] x+1/2 (log^\[Prime]\[Prime])[0] x^2+1/6  
> (log^(3))
> [0] x^3+O[x]^4
>
> Any hints on this result?  The log[0] is illegal in my mind.
>
> Regards.
> --
> .: Hongyi Zhao [ hongyi.zhao AT gmail.com ] Free as in Freedom :.
>


-- 
DrMajorBob@yahoo.com

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Re: Series[log[x], {x, 0, 3}] DrMajorBob <btreat1@austin.rr.com> - 2011-05-22 10:53 +0000

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