# Limit series

Infinite series are defined as the limit of the infinite sequence of partial sums. Since we already know how to. This video is a more formal definition of what it means for a sequence to converge. Together they are used. As the positive integer n {\displaystyle n} n becomes larger and larger, the value n ⋅ sin ⁡ (1 n) {\displaystyle n\cdot \sin {\bigg (}{\frac {1}{n}}{\bigg)}}  ‎ History · ‎ Real numbers · ‎ Metric spaces · ‎ Topological spaces.

### Limit series Video

Infinite series as limit of partial sums