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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg119116] Re: Series[log[x], {x, 0, 3}]
  • From: Oliver Jennrich <oliver.jennrich at gmx.net>
  • Date: Sun, 22 May 2011 06:55:08 -0400 (EDT)
  • References: <ir8534$ba5$1@smc.vnet.net>

Hongyi Zhao <hszhao.cn at gmail.com> writes:

> 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

As you should.

>
> Any hints on this result?  The log[0] is illegal in my mind.

Why? Mathematica doesn't know what 'log' is, so it treats it (correctly)
as a general function.

If you want to calculate the series of the logarithm, use

Series[Log[x],{x,0.3}]

(Note: Log, not log)

-- 
Space - The final frontier


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