| ( 5 n − 1)2 + ( 2n + 3)2 | ||
an = | ? | |
| ( 3 n + 4)*( 4 n − 1) |
| 25 n2 − 10 n + 1 + 4 n2 + 12 n + 9 | ||
an = | = | |
| ( 3 n + 4)*(4 n − 1) |
| 29 n2 + 2n + 10 | ||
= | = | |
| (3n+4)*(4n − 1) |
| 29 +2n + 10n2 | ||
= | ||
| ( 3 + 4n)*( 4 − 1n) |
| 29 + 0 + 0 | 29 | |||
lim an = | = | |||
| ( 3 + 0)*( 4 − 0) | 12 |