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Re: Unevaluated limit

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

In[1]:= Limit[
    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
>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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