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Adycoolucrv
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Cat este limita din ln x/1-x ? (x tinde la infinit )

Răspuns :

Rayzen
[tex] \lim_{x \to \infty}\limits{\dfrac{\text{ln}x}{1-x}} \overset{\boxed{\dfrac{\infty}{-\infty}}\Big{(L'h\Big)}}{=} \\ \\ = \lim_{x \to \infty}\limits{\dfrac{(\text{ln}x)'}{(1-x)'}} = \\ \\= \lim_{x \to \infty}\limits{\dfrac{\dfrac{1}{x}}{-1}} = \\ \\= \lim_{x \to \infty}\limits{-\dfrac{1}{x}} = \\ \\ =0[/tex]

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