Re: Limit[f[x], x->a] vs. f[a]. When are they equal?
- To: mathgroup at smc.vnet.net
- Subject: [mg118367] Re: Limit[f[x], x->a] vs. f[a]. When are they equal?
- From: Leonid Shifrin <lshifr at gmail.com>
- Date: Sun, 24 Apr 2011 08:27:08 -0400 (EDT)
Richard, On Sat, Apr 23, 2011 at 4:49 AM, Richard Fateman <fateman at cs.berkeley.edu>wrote: > Let c=ComplexInfinity > > then Mathematica (7.0) "knows" that Sin[c] is Indeterminate > > but Limit[Sin[x],x->c] is not evaluated. > > I would have thought that if f[a] is known, Limit[f[x],x->a] is > also known. > Not necessarily. The limiting procedure has nothing to do with the value of the function at a given point, it has to do with values of the function in the neighborhood of that point. Regards, Leonid > > RJF > >