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When you begin with z = k i - 0.75, you can obtain an arbitrarily good approximation of pi by multiplying the p for which f_p(z) = z^2 + z diverges by k. The approximation increases in precision as k tends to 0.

There's a neat video explaining it here: https://www.youtube.com/watch?v=d0vY0CKYhPY




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