MathGroup Archive 2001

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Limit and Abs


Hi,

what Mathematica version ??

Mathematica 4.1 say

In[]:=Limit[Abs[Cot[a]]/(Abs[Cot[a]] + 2), a -> Infinity]
Out[]=1


while a picture quickly show that Abs[Cot[a]]/(Abs[Cot[a]] + 2)
oscillate between 0 and 1 and the limit does not exist

Your first example gives

In[]:=Limit[Cot[a]/(Cot[a] + 2), a -> Infinity]
Out[]=Limit[Cot[a]/(2 + Cot[a]), a -> Infinity]

and finaly I would like to know what is the "correct
answer" because I would assume that the limit
is undefined/does not exist as to see from

Plot[Cot[a]/(2 + Cot[a]), {a, 0, 100}]

Regards
  Jens




Oliver Friedrich wrote:
> 
> Hallo,
> 
> if I evaluate
> Limit[Cot[a]/(Cot[a]+2),a->Infinity]
> i get the correct answer.
> 
> But I want to evaluate
> 
> Limit[Abs[Cot[a]]/(Abs[Cot[a]]+2),n->Infinity]
> 
> and that's being returned unevaluated. Help states, that Limit will return
> expressions unevaluated, if there are functions with unknown behaviour (Abs
> unknown ??) so I'm not too surprised or disappointed.
> But anyway, how can I workaround or bypass this problem, maybe an option or
> another function in the extra packages ?
> 
> Thanks
> 
> Oliver Friedrich


  • Prev by Date: Re: Limit and Abs
  • Next by Date: Re: Solve bug !!
  • Previous by thread: RE: Limit and Abs
  • Next by thread: Re: Limit and Abs