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MathGroup Archive 2004

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Re: Calculus : limits

  • To: mathgroup at smc.vnet.net
  • Subject: [mg51310] Re: Calculus : limits
  • From: p-valko at tamu.edu (Peter Valko)
  • Date: Thu, 14 Oct 2004 06:35:39 -0400 (EDT)
  • References: <ckfs34$isl$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Strictly speaking Direction option has to be specified.
The default is "Automatic" but in this case Mathematica takes (seemingly) 
Direction-> -1 as default.
Limit[(Abs[Sin[x]-Sin[2 x]]) / x, x->0,Direction->-1]
Limit[(Abs[Sin[x]-Sin[2 x]]) / x, x->0,Direction->1]
will give you two right answers (that are not equal.)
The truth of the matter is, that Calculus-type functions do not handle
Abs very well and if possible I use other things, e.g. UnitStep.
P.


Amir <z64043 at netscape.net> wrote in message news:<ckfs34$isl$1 at smc.vnet.net>...
> Hi,
> 
> I'd like to find the limit of
> Limit[(Abs[Sin[x]-Sin[2 x]]) / x, x->0]
> 
> I use Mathematica v.5. I get the wrong (??) answer : 1
> 
> While I try to display the graph of this function by using "Plot", it 
> seems that there is no limit at the point x=0.
> Please help...
> 
> Amir


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