Re: Different limits for simplied and non-simplified function
- To: mathgroup at smc.vnet.net
- Subject: [mg45005] Re: Different limits for simplied and non-simplified function
- From: "Mukhtar Bekkali" <mbekkali at hotmail.com>
- Date: Fri, 12 Dec 2003 04:42:31 -0500 (EST)
- Organization: Iowa State University
- References: <br4238$j12$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Another example. Let h=1+v^(1/n) and f=D[h,v]. Then Limit[Limit[h,v->0],n->0]=1 and Limit[Limit[f,v->0],n->0]=0, but Limit[Limit[h/f,v->0],n->0]=0. Isn't it weird? I would expect to get infinity! "Mukhtar Bekkali" <mbekkali at hotmail.com> wrote in message news:br4238$j12$1 at smc.vnet.net... > I have a function h=1+(n*v)^n-2. Define r=h/D[h,v] and R=Simplify[r]. Then > Limit[Limit[r,v->0],n->0]=infinity, while Limit[Limit[R,v->0],n->0]=0. How > is this possible, ain't r and R the same thing? > > >