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 11, rue Edmond Reuter L-5326 Contern Luxembourg Phone: +352 2454 2566 Fax: +352 2454 3566 Website: www.iee.lu This e-mail may contain trade secrets or privileged, undisclosed or otherwise confidential information. If you are not the intended recipient and have received this e-mail in error, you are hereby notified that any review, copying or distribution of it is strictly prohibited. Please inform us immediately and destroy the original transmittal from your system. Thank you for your co-operation.