Algebraically, right?

Gnorv@feddit.de to Lemmy Shitpost@lemmy.world – 591 points –
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It's a sum with n from 1 to infinity. The first value with n=1 is 3/4, with n=2 it's 3/16. And if you keep adding those terms as n goes to infinity it approaches 1 but never gets there.

Then if you look back at the meme, you could zoom in for infinity and always find a smaller square.

An additional part of the joke is that showing this through the area of a square is a geometric proof that this series converges the way it does.

Rather than algebraically. Feels like we're all converging towards explaining the joke but never quite fully get there.

Oof, I've heard this somewhere before. Thanks for the explanation!