Harmonic Series

analysis

Definition

Harmonic Series

A harmonic series is an infinite series defined as the sum of reciprocals of all positive integers:

$$\sum _{n=1}^{\infty }\frac{1}{n}=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\cdots$$