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.