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But HOW did Euler do it?! A BEAUTIFUL Solution to the FAMOUS Basel Problem!

Flammable Maths 481,364 6 years ago
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Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://shop.spreadshirt.de/papaflammy 2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg Sine taylor: https://www.youtube.com/watch?v=YvUBrEkVDbo Sine Product: https://www.youtube.com/watch?v=G5foIyCzbQw Cotangent: https://www.youtube.com/watch?v=6nA1sO_kcS8 Basel Problem: https://www.youtube.com/watch?v=MAoI__hbdWM 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! =) My Website: https://www.papaflammy.engineer/ Flammy's subreddit: https://www.reddit.com/r/FlammyBois Twitter: https://twitter.com/FlammableMaths Facebook: https://www.facebook.com/flammablemaths/ Got some time to spare? Make sure to add captions to my videos! =) http://www.youtube.com/timedtext_cs_panel?c=UCtAIs1VCQrymlAnw3mGonhw&tab=2 Want to know more about me? Watch my QnA! =D https://youtu.be/IjCWSDBI9Zc

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