# Math Help - Harmonic Series

1. ## Harmonic Series

1/a + 1/(a+1) + 1/(a+2) + ... + 1/(a^2) > 1
Why does this prove that the harmonic series diverges to infinity? What is so important about the finite number of terms?

2. Beacuse the harmonic series contains infinitely many disjoint subseries like this, implying that the "total sum" is unbounded.