/sci/ - Science & Math

>>12438573
>Not all sequences converge, so what?
Your example is a different kind of divergence. The values oscillate instead of getting closer and closer to a single number. In the example I gave you can have numbers come closer and closer to a single value, but that value won't be a part of the set of rationals, which causes problems. Consider picrelated. It's a sequence in a sense that you can do these fraction towers consecutively and they will bring you closer and closer to pi, which is irrational.