Editing Alternating series (section)

== Conditional convergence ==
A series is [[Conditional convergence|conditionally convergent]] if it converges but does not converge absolutely.

For example, the [[harmonic series (mathematics)|harmonic series]]

<math display="block">\sum_{n=1}^\infty \frac{1}{n}</math>

diverges, while the alternating version

<math display="block">\sum_{n=1}^\infty \frac{(-1)^{n+1}}{n}</math>

converges by the [[Alternating series#Alternating series test|alternating series test]].