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
>
>
>