Eta function is the alternating version of the zeta function. We will figure out a connection between the Eta function and the Zeta function so we can evaluate 1-1/4+1/9-1/16+...
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Check out the sum of reciprocals of squares,
pi^2/6 by Max Z, https://youtu.be/m2o27s1cq8M
pi^2/6 by Dr. P, https://youtu.be/erfJnEsr89w
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1-1/4+1/9-1/16+... (zeta function & eta function) | NatokHD