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High School
By Shiva Kintali on Jan. 5, 2018

Euler's proof of the Basel problem

The Basel Problem asks for the precise sum of the following infinite series: …
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High School
By Shiva Kintali on Nov. 28, 2012 | Updated Dec. 6, 2017

Infinite series

Prove the following : \(\sum_{n=1}^{\infty}{\frac{1}{(2n-1)(2n+1)}} = \frac{1}{2}\)
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High School
By Shiva Kintali on Jan. 5, 2018

Evaluate Riemann Zeta function at all positive even integers

Reimann zeta function is the following \(\zeta(s) = \displaystyle\sum_{n=1}^{\infty}{\frac{1}{n^s}}\) Euler proved the following …
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