[tex] \lim_{x \to +\infty}\limits{\dfrac{1+lnx}{1-lnx}} \overset{\frac{+\infty}{-\infty}(L'H)}{=} \ \lim_{x \to +\infty}\limits{\dfrac{(1+lnx)'}{(1-lnx)'}} = \lim_{x \to +\infty}\limits{\dfrac{\dfrac{1}{x}}{-\dfrac{1}{x}}} = \\ \\ =\lim_{x \to +\infty}\limits{\dfrac{1}{\not{x}}\cdot \Big(-\dfrac{\not{x}}{1}\Big)} = -1[/tex]
[tex]\Rightarrow \boxed{y = -1, $ $ $asimptota orizontala spre + \infty}$[/tex]
