Groups > comp.soft-sys.math.mathematica > #1251

Series holding the final sum

From	Jon Joseph <josco.jon@gmail.com>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Series holding the final sum
Date	2011-03-30 09:10 +0000
Organization	Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID	<imus1f$hu9$1@smc.vnet.net> (permalink)

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All:  Given the following sum:

Sum[(-1)^(n + 2) x^(2 n + 1)/(2 n + 1), {n, 0, 5}]

which generates:

x - x^3/3 + x^5/5 - x^7/7 + x^9/9 - x^11/11

I would like to replace x with -1 (%/.x->-1) without the sum being evaluated so I end up with

-1+1/3-1/5+1/7-1/9+1/11

So far I have not been able to find a way to Hold, HoldForm, Unevaluate, or Defer and keep getting -2578/3465.  Thanks. Jon=

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Series holding the final sum Jon Joseph <josco.jon@gmail.com> - 2011-03-30 09:10 +0000
  Re: Series holding the final sum Peter Pein <petsie@dordos.net> - 2011-03-31 09:02 +0000

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