| sin3 x | ||
lim | ||
| 3x3 |
| 3sin2x * cosx * 1 | sin2x*cosx | |||
... = lim | = lim | = | ||
| 9x2 | 3x2 |
| 0 | ||
(nadal | wiec robimy jeszcze raz hospitala) | |
| 0 |
| 2sinxcosx * cosx − sinx(sin2x) | ||
= lim | = | |
| 6x |
| sin(2x) * cosx − sin3x | ||
= lim | = (znowu hospital) | |
| 6x |
| 2cos(2x)*cosx − sinx(sin(2x)) − 3sin2xcosx | 2 | |||
= lim | = | (bo wszystko z sinusem idzie | ||
| 6 | 6 |
| 1 | ||
= | ||
| 3 |
| sin3x | 1 | sinx | sinx | sinx | 1 | |||||||
lim | = lim | * | * | * | = | |||||||
| 3x3 | 3 | x | x | x | 3 |
