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the most famous Ramanujan sum 1+2+3+...=-1/12

blackpenredpen 357,871 6 years ago
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What is the sum of all the natural numbers? Isn't it just infinity or is it really -1/12? Here we will see 1+2+3+... "will be" -1/12 if you use the Ramanujan summation, which is a way to assign a value to a divergent series. Check out Bose Integral: https://youtu.be/ctG4YgMs74w Check out NOT -1/12, https://youtu.be/6FTwMUL69u0 Sum of 1/n^2 by a Gucci Integral: https://youtu.be/5-pXwWNcsbc Sum of n^2, https://youtu.be/UsSC5v0o2Aw Ramanujan Summation: https://en.wikipedia.org/wiki/Ramanujan_summation Ramanujan summation in detail: https://hal.univ-cotedazur.fr/hal-01150208v2/document The sum of all natural numbers: by 3b1b: https://youtu.be/sD0NjbwqlYw by Numberphile: https://youtu.be/w-I6XTVZXww by Mathologer: https://youtu.be/jcKRGpMiVTw 🛍 Shop my math t-shirt & hoodies: amzn.to/3qBeuw6 💪 Get my math notes by becoming a patron: https://www.patreon.com/blackpenredpen #math #mathforfun #blackpenredpen #calculus #ramanujan

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