| 4n+3 | ||
lim | i to wszystko podniesione do 2n | |
| 5n−1 |
| sinn! | ||
lim | ||
| n |
| 4n+3 | 4 | 19 | ||||
1) ( | )2n=( | )n(1+ | )(4(5n−1)/19)*(19n/(10n−2)) | |||
| 5n−1 | 5 | 4(5n−1) |
| 4 | 19 | |||
lim ( | )n(1+ | )(4(5n−1)/19)*(19n/(10n−2)) = | ||
| 5 | 4(5n−1) |
| −1 | sin(n!) | 1 | ||||
2) | ≤ | ≤ | ||||
| n | n | n |
| −1 | 1 | |||
lim | = lim | = 0 | ||
| n | n |
| sin(n!) | ||
na mocy tw. o 3 ciągach lim | = 0 | |
| n |
| 4 | 4 | |||
tam zamiast ( | )n powinno być ( | )2n | ||
| 5 | 5 |