Re: Calculus : limits
- To: mathgroup at smc.vnet.net
- Subject: [mg51330] Re: Calculus : limits
- From: astanoff_otez_ceci at yahoo.fr (astanoff)
- Date: Thu, 14 Oct 2004 06:37:18 -0400 (EDT)
- Organization: Gyptis.org les Linuxiens normaux
- References: <ckfs34$isl$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Amir wrote: > 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 -- If a function is not continuous - which is the case here - you have to use the Direction option : In[1]:=Limit[Abs[Sin[x] - Sin[2x]]/x, x -> 0, Direction -> -1] Out[1]=1 In[2]:=Limit[Abs[Sin[x] - Sin[2x]]/x, x -> 0, Direction -> 1] Out[2]=-1 v.a. -- 0% de pub! Que du bonheur et des vrais adhérents ! Vous aussi inscrivez-vous sans plus tarder!! Message posté à partir de http://www.gyptis.org, BBS actif depuis 1995.