Harmonic Series and p-series

Definition

The harmonic series is an infinite series formed by adding reciprocals of positive integers. A p-series is similar but involves raising each reciprocal to some power p.

Related terms

Convergence:

When the terms of a series approach a finite value as more terms are added.

Divergence:

When the terms of a series do not approach a finite value as more terms are added.

Test for Convergence: Methods used to determine whether an infinite series converges or diverges.