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- From: derwent.1@nd.edu (John E. Derwent)
- Newsgroups: sci.math.symbolic
- Subject: Re: Mathematica limit quirks
- Message-ID: <derwent.1-300792094624@derwent.math.nd.edu>
- Date: 30 Jul 92 14:49:44 GMT
- References: <1992Jul29.204757.19045@usenet.ins.cwru.edu>
- Sender: news@news.nd.edu (USENET News System)
- Followup-To: sci.math.symbolic
- Organization: University of Notre Dame
- Lines: 59
-
- In article <1992Jul29.204757.19045@usenet.ins.cwru.edu>, somos@ces.cwru.edu
- (Michael Somos) wrote:
- >
- > I sure hope they figure out the reason for the following oddity:
- >
- > In[1]:= $Version
- >
- > Out[1]= SPARC 2.0 (August 26, 1991)
- >
- > In[2]:= Table[Limit[Exp[x]/x^n,x->Infinity],{n,4}]
- >
- > x
- > E
- > Out[2]= {Infinity, Infinity, Infinity, Limit[--, x -> Infinity]}
- > 4
- > x
- >
- > A recent article in sci.math indicates that Maple has a similar
- > problem. You can never trust computer programs too far.
- > --
- > Shalom, Michael Somos <somos@ces.cwru.edu>
-
- In 2.0 Mathematica has added a Limit package which does this and much more
- difficult limits with no problem. For example,
-
- $Version
- "NeXT 2.0 (November 14, 1991)"
-
- <<Calculus`Limit`
-
- Table[Limit[Exp[x]/x^n,x->Infinity],{n,50}]
-
- {DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1],
- DirectedInfinity[1], DirectedInfinity[1]}
-
- John Derwent derwent.1@nd.edu
-