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submitted 1 month ago* (last edited 1 month ago) by fossilesque@mander.xyz to c/science_memes@mander.xyz
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[-] Bender_on_Fire@lemmy.world 6 points 1 month ago

I didn't see the pattern either and had to look it up. Apparently, you can rewrite 1 + 1/(1+2) + 1/(1+2+3)+... as 2(1 - 1/2 + 1/2 - 1/3 +...+1/n - 1/(n + 1)) = 2(1 - 1/(n + 1))

From there, the limit of 2 is obvious, but I guess you just have to build up intuition with infinite sums to see the reformulation.

this post was submitted on 11 Sep 2024
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