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Looking for a better comparison series for reciprocal of Fibonacci numbers is marked as duplicate of the question for the value of Fibonacci numbers.

I don't see how it is a duplicate where it is asking for just a better comparison series than $\sum 2^{-k}$

What am I missing?

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    $\begingroup$ I don't know what you're looking for that isn't covered by the references in the answer to the other question. $\endgroup$ – Jonas Meyer Jan 20 '15 at 6:29
  • $\begingroup$ @JonasMeyer : Yes you are right. From beginning I asked for a comparison series not the value of series. $\endgroup$ – Arjang Jan 20 '15 at 6:30
  • $\begingroup$ @JonasMeyer: I can't see which reference improves on $2^{-k}$ series. $\endgroup$ – Arjang Jan 20 '15 at 6:32
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    $\begingroup$ The question has been reopened. (And I agree with that decision. I read this question as: How can I prove that series converges? And what are some upper bounds? To me that seems (especially the first part) different from the other question. $\endgroup$ – Martin Sleziak Jan 20 '15 at 7:56

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