| √x−1 | ||
lim | ||
| x3−x2+2x+−2 |
| √x−1 | √x−1 | √x−1 | ||||
lim | = lim | = lim | ||||
| x3−x2+2x−2 | x2)x−1)+2(x−1) | x2(x−1)+2(x−1) |
| √x−1 | √x−1 | |||
= lim | = lim | = | ||
| (x−1)(x2+2) | (√x2−1)(x2+2) |
| √x−1 | 1 | 1 | ||||
= lim | = imx→1 | = | = | |||
| (√x−1)(√x+1)(x2+2) | (√x+1)(x2+2) | (1+1)(1+2) |
| 1 | ||
= | − szukana granica . ...  | |
| 6 |