| n(√n+5+√n+8) | n2(n+5−n−8) | |||
n(√n+5−√n+8) | = | = | ||
| n(√n+5+√n+8) | n(√n+5+√n+8) |
| −3n2 | ||
Oj , co dalej nam daje | , i moge wyłączyć n przed nawiasy ale wtedy | |
| n(√n+5+√n+8) |
| n*(√n+5−√n+8) | (√n+5+√n+8) | |||
limn→∞ | * | = | ||
| 1 | (√n+5+√n+8) |
| n*(n+5−n−8) | ||
=limn→∞ | = | |
| (√n+5+√n+8) |
| −3n) | ||
=limn→∞ | = | |
| (√n+5+√n+8) |
| −3n | 3 | |||
=limn→∞ | =− | |||
| n*(√1+5/n+√1+8/n) | 2 |