| √n2+√n+1−√n2−√n−1 | ||
obliczyć granicę ciągu kn= | ||
| √n+1−√n |
| √n2+√n+1−√n2−√n−1 | √n+1+√n | ||
* | = | ||
| √n−1−√n | √n+1+√n |
| (√n2+√n+1−√n2−√n−1)*(√n+1+√n) | ||
= | = | |
| n+1−n |
| (√n2+√n+1−√n2−√n−1)*(√n+1+√n) | ||
= | * | |
| 1 |
| (√n2+√n+1+√n2−√n−1) | ||
* | = | |
| (√n2+√n+1+√n2−√n−1) |
| (√n+1+√n−1)*(√n+1+√n) | ||
= | ||
| √n2+√n+1+√n2−√n−1) |