## 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

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1866

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