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MathGroup Archive 2007

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Re: Maclaurin series for ArcCosh[x]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg73638] Re: Maclaurin series for ArcCosh[x]
  • From: Bill Rowe <readnewsciv at sbcglobal.net>
  • Date: Fri, 23 Feb 2007 04:44:37 -0500 (EST)

On 2/22/07 at 4:35 AM, akoz at mimuw.edu.pl (Andrzej Kozlowski) wrote:

>Try:

>Series[ArcCosh[x], {x, 0, 11}]

I get series expansion as expected

>and now try

>ArcCosh[x] + O[x]^12

It isn't obvious to me what you are suggesting here. If I enter

ArcCosh[x] + O[x]^12

into a new cell, I get that returned as I would expect

If I enter

Series[ArcCosh[x] + O[x]^12, {x, 0, 11}]

into a new cell I get the same result as for

Series[ArcCosh[x],{x, 0, 11}]

except there is now an additinonal O[x]^12 term in front of the
previous result. This seems reasonbable.

>At least with my version of Mathematica:

>$Version 5.2 for Mac OS X (February 24, 2006)

I am using a slightly different version

$Version 5.2 for Mac OS X (June 20, 2005)

but it isn't clear this is significant
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