Table 1 Comparison between approximation formulas (3.5) and (3.6).
n | \(a_{n}-\frac{\arctan n}{n}\) | \(\frac{\arctan n}{n}-b_{n}\) |
|---|---|---|
1 | 7.055 × 10−3 | 5.259 × 10−3 |
10 | 5.95 × 10−6 | 3.939 × 10−7 |
100 | 7.066 × 10−10 | 4.492 × 10−12 |
1000 | 7.182 × 10−14 | 4.546 × 10−17 |
10,000 | 7.193 × 10−18 | 4.552 × 10−22 |