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Problem 3: BERNOULLI'S DREAM.
In 1697, Bernoulli saw an integral and an infinite sum share every digit.
Prove it, then find the sibling series for the integral of x^x.
Tonight: Solution 1.
Tomorrow: Solution 2.
#QEDEventually #CalculusPuzzle #InfiniteSeries

Problem 2: THE LIGHTHOUSE RING.
A lighthouse, n harbor towns in a ring, 2n cables.
Keep exactly n so everything stays connected with no loops.
How many ways? Find the closed form.
Hint 1 is live.
Solution 1 tomorrow.
#QEDEventually #GraphTheory #DiscreteMath

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