Worksheets/Infinite Series Convergence: Difference between revisions
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\sum_{i=1}^{\infty} \dfrac{1}{n^2} = \dfrac{\pi^2}{6} | \sum_{i=1}^{\infty} \dfrac{1}{n^2} = \dfrac{\pi^2}{6} | ||
</math> | </math> | ||
=References= | |||
Basel problem: https://en.wikipedia.org/wiki/Basel_problem | |||
Proving the series converges (multiple ways): https://www.youtube.com/watch?v=9euTxoCC8Hk | |||
Background on other convergent series: https://plus.maths.org/content/infinite-series-surprises | |||
Revision as of 07:54, 9 May 2016
In this worksheet we study the convergence behavior of the series:
$ \sum_{i=1}^{\infty} \dfrac{1}{n^2} = \dfrac{\pi^2}{6} $
References
Basel problem: https://en.wikipedia.org/wiki/Basel_problem
Proving the series converges (multiple ways): https://www.youtube.com/watch?v=9euTxoCC8Hk
Background on other convergent series: https://plus.maths.org/content/infinite-series-surprises