Editing Talk:599: Apocalypse
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I got [https://www.explainxkcd.com/wiki/index.php/356:_Nerd_Sniping nerd sniped] trying to figure out what the summation in panel 5 (<big>∑</big><sup>n</sup><sub>i=0</sub>i<sup>k</sup>1/i) is supposed to be. It turns out the first term (where i = 0) comes out to 0<sup>k</sup>/0, which is undefined for all k. It follows that the sum itself is only defined when n < 0, i.e. when it's an [https://en.wikipedia.org/wiki/Empty_sum empty sum]. However, if we cancel the 1/i with a factor of i, we get <big>∑</big><sup>n</sup><sub>i=0</sub>i<sup>k-1</sup>, which is defined when n < 0 or k ≥ 1. Here's an [https://www.desmos.com/calculator/ayacpkgqd3 interactive version] I made in Desmos. [[User:Hhhguir|Hhhguir]] ([[User talk:Hhhguir|talk]]) 23:47, 3 March 2022 (UTC) | I got [https://www.explainxkcd.com/wiki/index.php/356:_Nerd_Sniping nerd sniped] trying to figure out what the summation in panel 5 (<big>∑</big><sup>n</sup><sub>i=0</sub>i<sup>k</sup>1/i) is supposed to be. It turns out the first term (where i = 0) comes out to 0<sup>k</sup>/0, which is undefined for all k. It follows that the sum itself is only defined when n < 0, i.e. when it's an [https://en.wikipedia.org/wiki/Empty_sum empty sum]. However, if we cancel the 1/i with a factor of i, we get <big>∑</big><sup>n</sup><sub>i=0</sub>i<sup>k-1</sup>, which is defined when n < 0 or k ≥ 1. Here's an [https://www.desmos.com/calculator/ayacpkgqd3 interactive version] I made in Desmos. [[User:Hhhguir|Hhhguir]] ([[User talk:Hhhguir|talk]]) 23:47, 3 March 2022 (UTC) | ||
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