Science Memes

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Witchcraft (mander.xyz)

submitted 2 months ago* (last edited 2 months ago) by [email protected] to c/[email protected]

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[–] Bender_on_Fire 6 points 2 months 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.