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Topic: Unbounded second derivative
Replies: 4   Last Post: Dec 4, 2012 7:00 AM

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Jose Carlos Santos

Posts: 4,872
Registered: 12/4/04
Re: Unbounded second derivative
Posted: Dec 3, 2012 11:08 AM
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On 03-12-2012 11:17, José Carlos Santos wrote:

> This is probably very simple, but I can't see it. :-) Let f be a twice
> derivable function from [0,+oo[ into R such that:
>
> 1) lim_{x to +oo} f(x) = 0;
>
> 2) lim_{x to +oo} f'(x) does not exist.
>
> Prove that the function f'' is unbounded.


Forget it! I've done it.

Best regards,

Jose Carlos Santos




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