Divergent series

In mathematics, a divergent series is a type of infinite series. A divergent series is one that does not converge. For a series to converge, it must approach a single finite value, called a limit, as you add more and more terms.

Any series that is convergent has terms that go closer and closer to zero as you add more terms. If they do not approach zero, it is obvious that the series is divergent. (This does not mean that all series with terms that approach zero have limits; the harmonic series has been proven not to, for example.)

References

Category:Mathematical analysis
Category:Sequences and series