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MathGroup Archive 2008

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Re: Expressions with ellipsis (...)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg93035] Re: Expressions with ellipsis (...)
  • From: Bill Rowe <readnews at sbcglobal.net>
  • Date: Fri, 24 Oct 2008 02:31:12 -0400 (EDT)

On 10/22/08 at 5:39 AM, dch888 at googlemail.com (dch888) wrote:

>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 "...".

>How can I get Mathematica to eval this limit?

In[4]:= s = Sum[k^2, {k, 1, n}]/n^3

Out[4]= ((n + 1)*(2*n + 1))/(6*n^2)

In[5]:= Limit[s, n -> Infinity]

Out[5]= 1/3

For Mathematica, like any other complex computer software, there
is no substitute for learning the required syntax.


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