| sin tx | 4t | |||
limt→0 ( | − | ) > 3 | ||
| t | sin tx |
| sin tx | 4t | |||
limt→0 ( | − | ) | ||
| t | sin tx |
| x*sin tx | 4*x*t | |||
limt→0 ( | − | ) | ||
| tx | x*sin tx |
| x*sin tx | 4 | |||||||||
limt→0 ( | − | ) | ||||||||
| tx |
|
| sin tx | ||
limt→0 | = 1 | |
| tx |
| x*sin tx | 4 | 4 | ||||||||||
limt→0 ( | − | ) = x − | ||||||||||
| tx |
| x |
| 4 | ||
x − | > 3 , dla x ≠ 0 ( dziedzina R bez 0 − x w mianowniku ) | |
| x |
| 4 | ||
x − | − 3 > 0 , wspólny mianownik | |
| x |
| x2 | 4 | 3x | |||
− | − | > 0 | |||
| x | x | x |
| x2 − 3x − 4 | |
> 0 ⇔ (x2 − 3x − 4)*x > 0 ⇔ (x−4)(x+1)x > 0 | |
| x |