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Re: Expressions with ellipsis (...)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg93011] Re: [mg92995] Expressions with ellipsis (...)
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Fri, 24 Oct 2008 02:26:33 -0400 (EDT)
  • Reply-to: hanlonr at cox.net

s = Sum[k^2, {k, n}]/n^3

((n + 1)*(2*n + 1))/(6*n^2)

Expand[s]

1/3 + 1/(2*n) + 1/(6*n^2)

Limit[s, n -> Infinity]

1/3


Bob Hanlon

---- dch888 <dch888 at googlemail.com> 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?

Thanks,
David.



--

Bob Hanlon



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