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>