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Re: Problem with Series

• To: mathgroup at smc.vnet.net
• Subject: [mg114186] Re: Problem with Series
• From: Peter Pein <petsie at dordos.net>
• Date: Fri, 26 Nov 2010 05:29:55 -0500 (EST)
• References: <ic9le2$nuv$1@smc.vnet.net>

Am Sat, 20 Nov 2010 23:25:54 +0000 (UTC)
schrieb Themis Matsoukas <tmatsoukas at me.com>:

> That's more math than I can handle... I merely wanted to identify
> the linear term of the series expansion.
> 
> Themis
> 

Hi,

apparently you are looking for the series expansion of ArcSinh[x] (for
real x):
In[1]:= Assuming[x\[Element]Reals,
f=Log[Coth[1/2 ArcCosh[Sqrt[1+x^2]/x]]]//TrigToExp//FullSimplify]
Out[1]= ArcSinh[x]

and that task isn't too hard, is it? ;-)

Cheers,
Peter