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Fibonacci constant is the sum of the reciprocals of the Fibonacci sequence.

Thus it is 1/1 + 1/1 + 1/2 + 1/3 + 1/5 + 1/8 + ...

It is known that this series converges to an irrational number that is approximately 3.359 885 666 243 177 553 172 011 302 918 927 179 688 905 133 731 968 486 495 553 815 325 130 318 996 683 383 615 416 216 456 790 087 297 04

As of 20 October 2013, no closed formula for the constant was known.

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Q: How do you work out the exact value of Fibonacci's constant?
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