gubie sie juz w tych delopitalach.. i nie moge dojsc do ładu z tym
przykladem..
lim (1x)sinx
x−>o+
| 1 | ||
f(x) = (1x)sinx = | ||
| xsinx |
| lnx | ||||||||
ln[g(x)] = sinx*lnx = | ||||||||
|
| 1 | ||
x→0+ ⇒ lnx→ −∞ i | →+∞ | |
| sinx |
| sin2x | |||||||||
lim g(x) = lim | = − lim | = | ||||||||
| x*cosx |
| sinx | sinx | sinx | ||||
− lim [ | * | ] = − lim [ | *tgx ] = −1*tg0 = 0 | |||
| x | cosx | x |
| 1 | ||
ln[g(x)] → 0 to g(x) → 1 to f(x) → | =1 | |
| 1 |