Re: Classic game LUNAR and G=1E-03

["John B. Matthews" <nospam@nospam.invalid>]

In article <H7mdnd0vhda2wn3WnZ2dnUVZ_qmdnZ2d@giganews.com>,
 "Michael J. Mahon" <mjmahon@aol.com> wrote:

> BTW, does anyone recognize these power series?  The first is:
> 
>      Sum (n=1 to 5) (x^n/n)

This looks like the Maclaurin series for -ln(1 - x):

<http://en.wikipedia.org/wiki/Taylor_series#Examples>
<http://en.wikipedia.org/wiki/Logarithm#Calculation>

> and the second is:
> 
>      Sum (n=1 to 5) (x^n/(n*(n+1)))
> 
> These remind me of Taylor expansions of some simple functions, truncated
> at the 5th power...

-- 
John B. Matthews
trashgod at gmail dot com
<http://sites.google.com/site/drjohnbmatthews>