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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: limit(f(x+1/x)/f(x),x=infinity)=2
Replies: 10   Last Post: Oct 14, 2009 5:24 AM

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Alex McW

Posts: 26
Registered: 12/12/04
Re: limit(f(x+1/x)/f(x),x=infinity)=2
Posted: Oct 13, 2009 1:11 AM
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On Oct 12, 11:39 pm, Tim Little <t...@little-possums.net> wrote:
> On 2009-10-13, M.A.Fajjal <h2...@yahoo.com> wrote:
>
> > Is there any solution for
> > limit(f(x+1/x)/f(x),x=infinity)=2
> > where f(x) is uniformly continous function
>
> No.  Intuitively, there must be a point beyond which the function is
> growing too fast.  Can you turn that idea into a rigorous proof?
>
> - Tim

Sorry, I mistakenly took f(x+1/x) as being f((x+1)/x).

Alexm

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