Re: Expressions with ellipsis (...)
- To: mathgroup at smc.vnet.net
- Subject: [mg93028] Re: Expressions with ellipsis (...)
- From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
- Date: Fri, 24 Oct 2008 02:29:52 -0400 (EDT)
Hi, David,
the expression
n^2 + (n - 1)^2 + (n - 2)^2 + ... + 1
is illegal itself. Instead you may use Sum[i^2, {i, n}] which is equivalent to your expression. Try the following:
In[60]:= Limit[Sum[i^2, {i, n}]/n^3, n -> Infinity]
Out[60]= 1/3
Alexei
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.
--
Alexei Boulbitch, Dr., Habil.
Senior Scientist
IEE S.A.
ZAE Weiergewan
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