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\lim _{x \rightarrow \infty} \frac{\ln [x]}{x}=

Option: 1

1


Option: 2

0


Option: 3

-1


Option: 4

does not exist


Answers (1)

best_answer

x-1 \leq[x] \leq x \\

\Rightarrow \frac{\ln (x-1)}{x} \leq \frac{\ln [x]}{x} \leq \frac{\ln x}{x} \Rightarrow \lim _{x \rightarrow \infty} \frac{\ln [x]}{x}=0

Posted by

Pankaj Sanodiya

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