Re: Is this normal for Limit?
- To: mathgroup at smc.vnet.net
- Subject: [mg82327] Re: Is this normal for Limit?
- From: Bill Rowe <readnewsciv at sbcglobal.net>
- Date: Wed, 17 Oct 2007 04:15:10 -0400 (EDT)
On 10/16/07 at 3:23 AM, mmandelberg at comcast.net (Michael Mandelberg)
wrote:
>I have what I would think is the following simple limit to evaluate:
>$Pre = Refine[#] &; $Assumptions = {t \[Element] Reals, k
>\[Element]Reals, k > 0};
>In[3]:= Limit[Exp[-k t], t -> Infinity]
>The results is:
>
>Out[3]= Limit[\[ExponentialE]^(-k t), t -> \[Infinity]]
>In other words Mathematica 6.0.0 punts on this. Is there any sense
>in which this limit is not well-defined?
I seem to recall seeing a posts here discussing issues with
using $Assumptions. Using Assuming as follows:
In[14]:= Assuming[k > 0, Limit[Exp[-k t], t -> Infinity]]
Out[14]= 0
works
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