MathGroup Archive 2011

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Series holding the final sum

  • To: mathgroup at
  • Subject: [mg117703] Series holding the final sum
  • From: Jon Joseph <josco.jon at>
  • Date: Wed, 30 Mar 2011 04:10:14 -0500 (EST)

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


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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