February 13th, 2005

sleepy

the series of badger, part 2

The first day I had a finite number of badgers. My path was clear - next I needed an infinite number of badgers.

lim(badger^n,n->inf)

The limit of badger raised to n, as n approaches infinity.

Which is, essentially, an infinite number of badgers.

The series breaks down a little, unfortunately - I could make an argument that it's a countably infinite number of badgers. But, really, calculus and countability theory don't intersect very well as far as I know. So it's really just infinite, which doesn't say a whole lot.

Pretend it's countable.

I'll explain what "countable" and "uncountable" mean in the next entry.