Daily Maths Challenges

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Share your cool maths problems.

Complete a challenge:

Post your solution in comments, if it is exactly the same as OP's solution, let us know.
Have fun.

Post a challenge:

Doesn't have to be original, as long as it is not a duplicate.
Challenges not riddles, if the post is longer than 3 paragraphs, reconsider yourself.
Optionally include solution in comments, let it be clear this is not a homework help forums.
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submitted 6 months ago by [email protected] to c/[email protected]

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Prove that the sum of the reciprocals of the Fibonacci numbers up to infinity converges to a finite value.