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