Taylor series sinx centered at pi
| Input interpretation |
|---|
| series | sin(x) | point | x = pi |
| Series expansion at x=π |
| -(x – pi) + 1/6 (x – pi)^3 – 1/120 (x – pi)^5 + O((x – pi)^7) (Taylor series) (converges everywhere) |
| Approximations about x=π up to order 3 |
| (order n approximation shown with n dots) |
| Series representation at x=π |
| sum_(n>=0)-(i i^n (-1 + (-1)^n) (-pi + x)^n)/(2 n!) |