| √5x−5 | ||
lim x→5 | ||
| x−5 |
| √5x−5 | ||
limx→5 | ||
| x−5 |
| √25−5 | 5−5 | 0 | ||||
limx→5[ | ] = [ | ] = [ | ] − symbol nieoznaczony, więc mnożymy przez | |||
| 5−5 | 0 | 0 |
| √5x−5 | √5x+5 | |||
= limx→5 | * | |||
| x−5 | √5x+5 |
| (√5x)2−(5)2 | ||
= limx→5 | ||
| (x−5)(√5x+5) |
| (5x−25) | ||
= limx→5 | ||
| (x−5)(√5x+5) |
| (5(x−5)) | ||
= limx→5 | ||
| (x−5)(√5x+5) |
| (5) | 5 | 5 | 5 | 1 | ||||||
= limx→5 | = | = | = | = | | |||||
| (√5x+5) | √25+5 | 5+5 | 10 | 2 |