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Take 1 plus 1 fourth plus 1 ninth plus 1 sixteenth and so on where youamp;#39;re adding the inverses of the next square number What does this sum approach as you keep adding on more and more terms? Now this is a challenge that remained unsolved for 90 years after it was initially posed until finally it was Euler who found the answer Super surprisingly to be pi squared divided by 6. I mean isnamp;#39;t that crazy? What is pi doing here? And why is it squared? We donamp;#39;t usually see it squared in honor of Euler whose hometown was basil This infinite sum is often referred to as the basil problem But the proof that Iamp;#39;d like to show you is very different from the one that Euler had Iamp;#39;ve said in a previous video that whenever you see pi show up There will be some connection to circles and there are those who like to say that pi is not fundamentally about circles and Insisting on connecting equations like these ones with a geometric intuition stems from a stubborn insi
