| Sn |
| Tn |
| 2n |
| 3n+1 |
∴
| an |
| bn |
| a1+a2n−1 |
| b1+b2n−1 |
| S2n−1 |
| T2n−1 |
| 2(2n−1) |
| 3(2n−1)+1 |
| 2n−1 |
| 3n−1 |
∴
| lim |
| n→∞ |
| an |
| bn |
| lim |
| n→∞ |
| 2n−1 |
| 3n−1 |
| lim |
| n→∞ |
2−
| ||
3−
|
| 2 |
| 3 |
故答案为：
| 2 |
| 3 |
| Sn |
| Tn |
| 2n |
| 3n+1 |
| lim |
| n→∞ |
| an |
| bn |
| Sn |
| Tn |
| 2n |
| 3n+1 |
| an |
| bn |
| a1+a2n−1 |
| b1+b2n−1 |
| S2n−1 |
| T2n−1 |
| 2(2n−1) |
| 3(2n−1)+1 |
| 2n−1 |
| 3n−1 |
| lim |
| n→∞ |
| an |
| bn |
| lim |
| n→∞ |
| 2n−1 |
| 3n−1 |
| lim |
| n→∞ |
2−
| ||
3−
|
| 2 |
| 3 |
| 2 |
| 3 |