Help with a symbolic sum.....

*To*: mathgroup at christensen.cybernetics.net*Subject*: [mg1696] Help with a symbolic sum.....*From*: tlm at ameslab.gov (Tom Marchioro)*Date*: Mon, 17 Jul 1995 02:54:26 -0400*Organization*: Iowa State University, Ames, Iowa

for one of our on-line computational science textbooks I was in the process of translating an example from Maple to Mathematica. Unfortunately, it appears that this is a case where Mma comes up short. To wit, Mma gives the following math Mathematica 2.2 for NeXT Copyright 1988-93 Wolfram Research, Inc. -- NeXT graphics initialized -- In[1]:= Needs["Algebra`SymbolicSum`"]; In[2]:= Sum[(((2*i)/(2*n+1))*(1/n)/Sqrt[((2*i)/(2*n+1) -1/2)^2 + (1/2)^2]), {i, -n, n}] Out[2]= 0 which is flat-out wrong. Need the above sum *in Mathematica* in the limit as n-> Infinity, am open to suggestions..... Thanks for any help which can be offered. Tom -- Dr. Thomas L. Marchioro II Two-wheeled theoretical physicist Applied Mathematical Sciences 515-294-9779 Ames Laboratory 515-432-9142 (home) Ames, Iowa 50011 tlm at ameslab.gov Executive Director: Undergraduate Computational Engineering and Sciences http://uces.ameslab.gov/uces/home.html