domain for sum of geometric series
- To: mathgroup at smc.vnet.net
- Subject: [mg39100] domain for sum of geometric series
- From: Frank Buss <fb at frank-buss.de>
- Date: Wed, 29 Jan 2003 03:38:06 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
If I enter Sum[p^i, {i, 0, Infinity}] Mathematica says, it is 1/(1-p), but
doesn't say something about the domain for p: 1/(1-p) is only valid for
-1<p<1. How can I display the domain and why Mathematica doesn't say me the
other result, infinity for p>=1 and p<=-1?
PS: you can find a nice animation for the geometric series at
http://www.matheprisma.de/Module/Craps/summe.htm
--
Frank Buß, fb at frank-buss.de
http://www.frank-buss.de, http://www.it4-systems.de