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.