\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\log {{x}^{n}}-[x]}{[x]},\,n\in N,\,\]\[\,(\,[x]\] denotes greatest integer less than or equal to x) [AIEEE 2002]

\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\log {{x}^{n}}-[x]}{[

1.	\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\log {{x}^{n}}-[x]}{[x]},\,n\in N,\,\]\[\,(\,[x]\] denotes greatest integer less than or equal to x) [AIEEE 2002]
A.	Has value ?1
B.	Has value 0
C.	Has value 1
D.	Does not exist
Answer» B. Has value 0

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\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\log {{x}^{n}}-[x]}{[x]},\,n\in N,\,\]\[\,(\,[x]\] denotes greatest integer less than or equal to x) [AIEEE 2002]

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