[2024/05/02] Reciprocals of Fibonacci numbers
![[2024/05/02] Reciprocals of Fibonacci numbers](https://lemmy.world/pictrs/image/3b4266d9-89d1-4730-90ab-0d2c183b24d3.png){kind=link}
Prove that the sum of the reciprocals of the Fibonacci numbers up to infinity converges to a finite value.
siriusmart, (edited ) 
solution: …siri.sh/…/2024-05-02_fibonacci-reciprocals.html
spoiler___ https://lemmy.world/pictrs/image/9b09f335-51d7-4fe1-a553-45ad951131f4.png
note: I don’t think it is really “rigorous” proof, but that’s the best I could come up with, so yeah
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