The Basel Problem & its Alternating Formulation [ The Dirichlet Eta Function ]

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy 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 =) Don't forget sharing my videos, it helps growing the channel =) 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