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| From | Richard Fateman <fateman@cs.berkeley.edu> |
| Newsgroups | comp.soft-sys.math.mathematica |
| Subject | Re: Limit[f[x], x->a] vs. f[a]. When are they equal? |
| Date | Thu, 28 Apr 2011 10:35:30 +0000 (UTC) |
| Organization | Steven M. Christensen and Associates, Inc and MathTensor, Inc. |
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| Approved | Steven M. Christensen <steve@smc.vnet.net>, Moderator |
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On 4/26/2011 3:51 AM, Andrzej Kozlowski wrote: .. skipped and snipped... > and so on. In Mathematica is no sense in taking limits as z ->ComplexInfinity > without specifying a direction as there is no natural direction. So the idea of a limit as x->x0 makes no sense if x0 is a member of some set of numbers, symbols, whatever. Maybe the documentation for Limit should provide some information on this? I don't know what you have written previously on this topic and have no intention of looking it up. But in a system which includes ComplexInfinity, a concept which unifies at one "place" positive real infinity and negative real infinity, it becomes tricky to also have the separate values +Infinity and -Infinity. some of my thoughts are in section 4 of http://www.cs.berkeley.edu/~fateman/papers/interval.pdf RJF
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Re: Limit[f[x], x->a] vs. f[a]. When are they equal? Andrzej Kozlowski <akoz@mimuw.edu.pl> - 2011-04-26 10:51 +0000
Re: Limit[f[x], x->a] vs. f[a]. When are they equal? Noqsi <noqsiaerospace@gmail.com> - 2011-04-30 09:51 +0000
Re: Limit[f[x], x->a] vs. f[a]. When are they equal? Richard Fateman <fateman@cs.berkeley.edu> - 2011-05-02 10:51 +0000
Re: Limit[f[x], x->a] vs. f[a]. When are they equal? Richard Fateman <fateman@cs.berkeley.edu> - 2011-04-28 10:35 +0000
Re: Limit[f[x], x->a] vs. f[a]. When are they equal? Andrzej Kozlowski <akoz@mimuw.edu.pl> - 2011-04-28 10:36 +0000
Re: Limit[f[x], x->a] vs. f[a]. When are they equal? Richard Fateman <fateman@eecs.berkeley.edu> - 2011-04-29 11:29 +0000
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