Definition:Harmonic Series/General

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This page is about General Harmonic Series. For other uses, see Harmonic.


Let $\sequence {x_n}$ be a sequence of numbers such that $\sequence {\size {x_n} }$ is a harmonic sequence.

Then the series defined as:

$\ds \sum_{n \mathop = 1}^\infty x_n$

is a harmonic series.

Also see

  • Results about harmonic series (particular and general) can be found here.