harmonic series

noun
Updated on: 15 Nov 2017

Definition of harmonic series

:a series of the form {latex}1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{4} + \frac{1}{5} + \dots{/latex} which diverges for 0 ≤ α ≤ 1 and converges for α > 1

First Known Use of harmonic series

1866


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