$\lim\limits_{x \rightarrow \infty} \frac{\ln [x]}{x}=$
Answer & explanation
Correct answer: option 2
x - 1 ≤ [x] ≤ x
$\Rightarrow \frac{\ln (x-1)}{x} \leq \frac{\ln [x]}{x} \leq \frac{\ln x \mid}{x} \Rightarrow \lim\limits_{x \rightarrow \infty} \frac{\ln [x]}{x}=0$
Hence (2) is the correct answer.