Prove that the sum of the reciprocals of the Fibonacci numbers up to infinity converges to a finite value.
[2024/05/02] Reciprocals of Fibonacci numbers
2 years ago by siriusmart to c/dailymaths
Prove that the sum of the reciprocals of the Fibonacci numbers up to infinity converges to a finite value.
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@lemmy.world
Share your cool maths problems.
Complete a challenge:
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Feel free to contribute to a series by DMing the OP, or start your own challenge series.
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solution: https://gmtex.siri.sh/...
spoiler
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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