Limit of an Integer Function
- To: mathgroup at smc.vnet.net
- Subject: [mg18767] Limit of an Integer Function
- From: Phil Mendelsohn <mend0070 at tc.umn.edu>
- Date: Tue, 20 Jul 1999 01:33:27 -0400
- Organization: University of Minnesota, Twin Cities Campus
- Sender: owner-wri-mathgroup at wolfram.com
I seem to have found a blind spot in my knowledge of how to get
Mathematica to evaluate limits.
I want to evaluate the limit of a function where the domain is a member
of the Natural numbers, such as infinite series. It seems that Limit
assumes that the function is continuous.
For example, if I asked
Limit[Sin[ n Pi ],n-> Infinity], mathematica would return:
Interval[{-1,1}]. This is true if n is a member of the Reals, but not
true if n is a positive integer (in which case the limit would be 0.]
Is there another function I should use? Or would it be nice to specify
the domain of the function as a feature request?
Phil Mendelsohn