| ln(x+2)−lnx | ln(1+2/x) | ln(1+2/x) | ||||
Limx→∞ | = Limx→∞ | = Limx→∞ | * | |||
| 3x | 3x | 2/x |
| 3x2 | ∞ | |||
= | =0 | |||
| 2 | 2 |
| ln(1+2/x) | 2 | ||
* | powinno być, i to już dąży do 0 | ||
| 2/x | 3x2 |
| ln(x+2)−ln(x) |
| ||||||||||||
limx→∞ | =limx→∞ | ||||||||||||
| 3x | 3x |
| 2 | ||
=limx→∞ln((1+ | )13x) | |
| x |
| 2 | ||
=limx→∞ln((1+ | )x/2*2/(3x2)) | |
| x |
| 2 | ||
=ln(limx→∞(1+ | )x/2*2/(3x2)) | |
| x |
| ln(x+2)−ln(x) | ln(1+2/x) | ln 3 | ||||
0< | = | < | →0 rpzy x→∞ | |||
| x | x | x |
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
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