The Basel Problem & its Alternating Formulation [ The Dirichlet Eta Function ]
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Here’s quite the exciting one! We are going to deriv ethe value of the sum over all the squares and its alternating version! Resulting in pi^2/6 and pi^2/12 respectively, those identities are quite the special bois! First solved by Euler, we are going to attempt it using Fourier Series of x^2 today. Enjoy the ride =)
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