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Re: Limit of an Integer Function
*To*: mathgroup at smc.vnet.net
*Subject*: [mg18822] Re: Limit of an Integer Function
*From*: "Alex Scheitlin" <alex-s at worldnet.att.net>
*Date*: Thu, 22 Jul 1999 08:19:35 -0400
*Organization*: AT&T WorldNet Services
*References*: <7n12ad$bcq@smc.vnet.net>
*Sender*: owner-wri-mathgroup at wolfram.com
Seems like an idiotic way to do it but
Sum[Sin[n \[Pi]] - Sin[(n - 1)\[Pi]], {n, 1, \[Infinity]}]
works.
In general:
f[0]+Sum[f[n]-f[n-1],{n,1,Infinity}]
Phil Mendelsohn <mend0070 at tc.umn.edu> wrote in message
news:7n12ad$bcq at smc.vnet.net...
> 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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