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Sine taylor: • The Sine Function and its Series Expa...
Sine Product: • Deriving EULER's INFINITE SINE PRODUC...
Cotangent: • The Cotangent's Series Expansion Deri...
Basel Problem: • The Basel Problem & its Alternating F...
Today we are going to go bacc in time! Following in Euler's footsteps, we are going to solve the basel problem using the weierstraß factorization theorem. Decomposing the SIne into its linear factors and the comparing coefficients with its also established taylor series expansion is going to be the key in finding the peculiar value of pi^2/6 of zeta of 2/The sum of the reciprocals of all the natural numbers squared! Enjoy! =)
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