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MathGroup Archive 2008

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Re: Expressions with ellipsis (...)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg93252] Re: Expressions with ellipsis (...)
  • From: dch888 <dch888 at googlemail.com>
  • Date: Sat, 1 Nov 2008 05:08:42 -0500 (EST)
  • References: <gdmsbd$jv$1@smc.vnet.net> <gdrq4l$mit$1@smc.vnet.net>

On Oct 24, 6:31 am, Szabolcs Horvat <szhor... at gmail.com> wrote:
> dch888 wrote:
> > Hi Mathematica Friends,
>
> > I want to do this:
>
> > Limit[(n^2 + (n - 1)^2 + (n - 2)^2 + ... + 1)/n^3, n -> Infinity]
>
> > But Mathematica barfs:
>
> >      expression cannot be followed by "...".
>
> > Searching the help for 'ellipsis' gives me the Unicode 2026 character
> > (i.e. ...).
>
> > How can I get Mathematica to eval this limit?
>
> Limit[Sum[k^2, {k, 1, n}]/n^3, n -> Infinity]

Superb.  Many thanks.


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