Leibniz Series for π
In this article we prove the Leibniz series for π which states that π4=∑n=0∞(−1)n2⋅n+1.$${\pi \over 4} = \sum\limits_{n = 0}^\infty {{{\left( { - 1} \right)^n } \over {2 \cdot n + 1}}.} $$
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2016-12-01
|
| Series: | Formalized Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/forma-2016-0023 |