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Re: Re: Limit[Sin[a*x]/(a*x), x -> Infinity]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg35829] Re: [mg35796] Re: Limit[Sin[a*x]/(a*x), x -> Infinity]
  • From: Andrzej Kozlowski <andrzej at platon.c.u-tokyo.ac.jp>
  • Date: Fri, 2 Aug 2002 02:42:48 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

1. There is no way to make assumptions inside Limit. I very much doubt 
that buying any other software will help.

2. There is no need to use Mathematica or any other computer program to 
do solve this problem. It is exactly the kind of thing that is trivial 
to do with a little knowledge of mathematics and a bit of intelligence 
but is not suitable for a computer. Computer software should be used to 
deal with problems that are *computationally* difficult but do not 
require any intelligence. There is no computer software today (and there 
won't be for quite a long time) that can replace the latter .

Andrzej Kozlowski
Toyama International University
JAPAN
http://platon.c.u-tokyo.ac.jp/andrzej/

On Thursday, August 1, 2002, at 05:35  PM, JM wrote:

> Sorry for 'refreshing' this message but does anyone know if I can
> define the assumption below.
>
> I don't want to write specific assumptions for each term in Limit
> since I have many different variables and forms of a. Is it possible
> to generalise the assumption?
>
> it would really help me (and I really don't want to have to buy any
> additional maths software).
>
>
> timreh719 at yahoo.com.tw (bryan) wrote in message 
> news:<ahdf97$i36$1 at smc.vnet.net>...
>> Hi All :
>>    I am also interesting in the solution of how to make an asumption
>> in Mathematica. I can't find any method in Mathematica. If anybody has
>> the approch to do this , please send it to my e-mail too , Thank you 
>> all ..
>>
>> j_m_1967 at hotmail.com (JM) wrote in message 
>> news:<ah8otr$aut$1 at smc.vnet.net>...
>>> I know that this should be 0 but why can't I get mathematica to think
>>> likewise.
>>>
>>>
>>> In[4]:= Limit[Sin[a*x]/(a*x),x->Infinity]
>>>
>>>               Sin[a x]
>>> Out[4]= Limit[--------, x -> Infinity]
>>>                 a x
>>>
>>> Is the problem a? How can I specify the properties of or assumptions
>>> that may be made about a?
>
>
>



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