David Meyer on Nostr: Here's an interesting series:\[S=\sum\limits_{n=1}^{\infty} {\left ...

Here's an interesting series:\[S=\sum\limits_{n=1}^{\infty} {\left (\frac{a}{b}\right)}^{n}
\]Does it converge, and if so, to what?

A few of my notes on all of this are here:
https://davidmeyer.github.io/qc/infinite_sum_a_over_b.pdf, and as always, questions/comments/corrections/* greatly appreciated.

#convergentseries #math #maths