Hacker News new | ask | show | jobs
by twiceaday 926 days ago
https://youtu.be/krtf-v19TJg?si=Tpa3EW88Z__wfOQy&t=75

You can 'represent' the process of summing an infinite number of positive powers of x as a formula. That formula corresponds 1:1 to the process only for -1 < x < 1. However, when you plug 2 into that formula you essentially jump past the discontinuity at x = 1 and land on a finite value of -1. This 'makes sense' and is useful in certain applications.