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