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MathGroup Archive 2004

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Re: Calculus : limits

  • To: mathgroup at smc.vnet.net
  • Subject: [mg51338] Re: Calculus : limits
  • From: "Peltio" <peltio at twilight.zone>
  • Date: Thu, 14 Oct 2004 06:37:54 -0400 (EDT)
  • References: <ckfs34$isl$1@smc.vnet.net>
  • Reply-to: "Peltio" <peltioNOSP at Mdespammed.com.invalid>
  • Sender: owner-wri-mathgroup at wolfram.com

"Amir"

>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.

Yep, the limit from the left is -1, while that from the right is +1.
They can hardly agree in zero. : ]
Ultimately your limit is equivalent to that of Abs[x]/x for x->0
You should load the package Calculus`Limit` to compute limits with
discontinuos functions such as Abs.
(But don't forget, as you've just done, to double check the result you get).

cheers,
Peltio
Invalid address in reply-to. Crafty demunging required to mail me.


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