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Re: Unevaluated limit

  • To: mathgroup at smc.vnet.net
  • Subject: [mg84510] Re: Unevaluated limit
  • From: "Steve Luttrell" <steve at _removemefirst_luttrell.org.uk>
  • Date: Mon, 31 Dec 2007 21:15:54 -0500 (EST)
  • References: <fla7gm$feu$1@smc.vnet.net>

You could do an asymptotic expansion of the Tan, and then take the limit:

In[1]:= Limit[
 2*x^2*Exp[
    6 x]*(1 - Cos[Exp[-3 x]*Series[Tan[2/x], {x, \[Infinity], 1}]]) //
   Normal, x -> \[Infinity]]

Out[1]= 4

Steve Luttrell
West Malvern, UK

"Liverpool" <x at y.z> wrote in message news:fla7gm$feu$1 at smc.vnet.net...
>I have to evaluate this limit (I know the answer is 4)
>     Limit[2*x^2*Exp[6 x]*(1 - Cos[Exp[-3 x]*Tan[2/x]]), x -> Infinity]
> 
> but the output is unevaluated:
> 
>     Limit[2 \[ExponentialE]^(6 x) x^2 (1 - Cos[\[ExponentialE]^(-3 x) 
> Tan[2/x]]), x -> \[Infinity]]
> 
> Is there any way to evaluate it symbolically?
> 
> Thanks, Liverpool
> 
> 
>


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