Series holding the final sum
- To: mathgroup at smc.vnet.net
- Subject: [mg117703] Series holding the final sum
- From: Jon Joseph <josco.jon at gmail.com>
- 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
-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=