# Divergent series facts for kids

In mathematics, a **divergent series** is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit.

If a series converges, the individual terms of the series must approach zero. Thus any series in which the individual terms do not approach zero diverges. However, convergence is a stronger condition: not all series whose terms approach zero converge. A counterexample is the harmonic series

The divergence of the harmonic series was proven by the medieval mathematician Nicole Oresme.

## See also

In Spanish: Serie divergente para niños

All content from Kiddle encyclopedia articles (including the article images and facts) can be freely used under Attribution-ShareAlike license, unless stated otherwise. Cite this article:

Divergent series Facts for Kids. *Kiddle Encyclopedia.*