Category Archives: analysis

Convergent or divergent?

Series hold endless fascination. To converge or not to converge? That is the question. Let's take the series $1 + 1/2 + 1/3 + \cdots$. It's called the harmonic series, and it diverges. That's because it is greater than the series $$1 + 1/2 + 1/4 + 1/4 + 1/8 + 1/8 + 1/8 + […]