| 3 − √9 + x | ||
a) lim | ||
| x |
| 1 | 1 | |||
b) lim ( | − | ) | ||
| x √x + 1 | x |
| 9 − ( 9 + x) | − 1 | |||
a) f(x) = | = | |||
| x*( 3 + √9 + x) | 3 + √9 + x |
| −1 | 1 | |||
lim f(x) = | = − | |||
| 3 + √9+0 | 6 |
| a2 − b2 | ||
Do licznika stosujemy wzór : a − b = | ||
| a + b |
| x − x√x + 1 | 1 − √x + 1 | |||
b) f(x) = | = | = | ||
| x2 √x + 1 | x √x + 1 |
| 1 − (x + 1) | −1 | |||
= | = | |||
| ( 1 + √x + 1)*(x √x + 1) | ( 1 + √x +1)*(√x + 1) |
| 1 | ||
lim f(x) = − | ||
| 2 |