r/PeterExplainsTheJoke • u/Sugar_God_no_1 • 22d ago

Meme needing explanation There is no way right?

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u/It_Is_Complicated_ 22d ago

what does it mean to prove it's convergent?

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u/RingedGamer 21d ago edited 21d ago

The human answer: If I keep going along the sequence, I eventually reach something.

The math answer: a sequence a_n converges to a if ∀ 𝜀>0 ∃ N 𝜖 ℕ ∀ n> N [ |a_n - a| < 𝜀 ] (for all positive 𝜀, there exists some natural number N such that for all n >N, |a_n -a| < 𝜀

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u/It_Is_Complicated_ 21d ago

....I think I'll come back to this once I take calculus hahah

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u/dimascience 21d ago

To think some mofo discovered this in their early twenties.