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Re: Calculus : limits

• To: mathgroup at smc.vnet.net
• Subject: [mg51302] Re: [mg51279] Calculus : limits
• From: Matteo Delfino <delfino at studenti.ph.unito.it>
• Date: Thu, 14 Oct 2004 06:35:20 -0400 (EDT)
• References: <200410120557.BAA19198@smc.vnet.net>
• Reply-to: delfino at studenti.ph.unito.it
• Sender: owner-wri-mathgroup at wolfram.com

Amir ha scritto:
> 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

Try with:

Limit[(Abs[Sin[x]-Sin[2 x]]) / x, x->0,Direction->1]

and you will get the answer as x approaches to x0 from smaller values 
(odd limit). Read mathematica help for more informations on Limit[] and 
Direction option.

Regards.
Matteo Delfino

• References:
  • Calculus : limits
    • From: Amir <z64043@netscape.net>