Most authors divide infinite series into two classes: convergent and divergent. A series is convergent if the sum of the series approaches a finite limit. A series is divergent if it is not convergent.
Other authors divide infinite series into three classes: convergent, divergent and oscillating. An infinite series is convergent if it approaches a finite value, divergent if it approaches an infinite value, and oscillating if it does not approach any value.
An object that is divergent is said to diverge.
An example of an infinite series that diverges is the harmonic series:
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