A convergent [[Series]] is a [[Sequence]] that does not blow up to infinity, but a finite value. >[!example] >$ \huge \begin{align} >S &= 1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \cdots >\\&= \frac{\pi}{4} >\end{align} $ >The Sequence $S$ converges to $\frac{\pi}{4}$.