Table 2 (\(\kappa_{n} = {\sqrt{\frac{n}{2n+3}}}\) for all \(n \in \mathbb{N} \))
Step | When \(u_{1} = 1.5\) | \(u_{1} = 2.5\) | \(u_{1} = 3.5\) |
|---|---|---|---|
1 | 1.5 | 2.5 | 3.5 |
50 | 1.000070736246516 | 2.000070736246516 | 3.000070736246516 |
100 | 1.000000020810691 | 2.000000020810692 | 3.000000020810691 |
150 | 1.000000000006688 | 2.000000000006688 | 3.000000000006689 |
200 | 0.1721565830342946 | 1.090775274459172 | 2.056164187502003 |
250 | 0.00005853496173392133 | 1.00003086450209 | 2.000019096386024 |
300 | 2.015550211966978 × 10−8 | 1.000000010627658 | 2.000000006575511 |
350 | 7.001008916808291 × 10−12 | 1.000000000003692 | 2.000000000002284 |
400 | 2.447383506364153 × 10−15 | 0.0918987936870247 | 1.030161439675001 |
450 | 8.59732107577053 × 10−19 | 0.00003228278010981194 | 1.000010595298216 |
500 | 3.031773634861876 × 10−22 | 1.13842533894431 × 10−8 | 1.000000003736344 |
550 | 1.072466692421632 × 10−25 | 4.027092404879379 × 10−12 | 1.000000000001322 |
600 | 3.803545320138658 × 10−29 | 1.42822416570892 × 10−15 | 0.03556653915576083 |
650 | 1.351861194143804 × 10−32 | 5.076213541974867 × 10−19 | 0.00001264110719020337 |