| √x+3−√2x+3 | ||
limx→0 | ||
| x+x2 |
| 0 | ||
Przekształcam (jest symbol | ) | |
| 0 |
| √x+3−√2x+3 | √x+3+√2x+3 | ||
* | = | ||
| x*(1+x) | √x+3+√2x+3 |
| x+3−(2x+3) | ||
= | = | |
| x*(x+1)*(√x+3+√2x+3) |
| x+3−2x−3) | −x | |||
= | = | = | ||
| x*(x+1)*(√x+3+√2x+3) | x*(x+1)*(√x+3+√2x+3) |
| −1 | ||
= | ||
| (x+1)*(√x+3+√2x+3) |
| √x+3−√2x+3 | ||
limx→0 | = | |
| x*(1+x) |
| −1 | 1 | |||
=limx→0 | =− | |||
| (x+1)*(√x+3+√2x+3) | 2√3 |
