\( \lim _{x \rightarrow \infty} \frac{\ln x^{n}-[x]}{[x]}, n \in N \), is \( ([\cdot] \) denotes...

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\( \lim _{x \rightarrow \infty} \frac{\ln x^{n}-[x]}{[x]}, n \in N \), is \( ([\cdot] \) denotes greatest integer less than or equal to \( x \) )
(a) -1
(b) 0
(c) 1
(d) Does not exist
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