This term also applies to geometric series with ratio between negative one and one.
The uniform and pointwise types of this property may be contrasted for sequences, and Cauchy sequences in a complete space always have this property. A limit approaching zero is necessary but not sufficient for this property, which exists when the root test gives a value less than one or the integral test gives a finite number. The harmonic se- ries lacks this property, but the alternating version thereof as well as p-series for p greater than one do have this prop- erty. This term also applies to geometric series with ratio between negative one and one. Give this term that describes series whose sum approaches a finite number, contrasted with divergence.
The uniform and pointwise types of this property may be contrasted for sequences, and Cauchy sequences in a complete space always have this property.
{convergence} [accept word forms]