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Limit of an Integer Function

  • To: mathgroup at
  • Subject: [mg18767] Limit of an Integer Function
  • From: Phil Mendelsohn <mend0070 at>
  • Date: Tue, 20 Jul 1999 01:33:27 -0400
  • Organization: University of Minnesota, Twin Cities Campus
  • Sender: owner-wri-mathgroup at

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

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